/*
 * %W% %E%
 *
 * Copyright (c) 2006, Oracle and/or its affiliates. All rights reserved.
 * ORACLE PROPRIETARY/CONFIDENTIAL. Use is subject to license terms.
 */

package com.wxiwei.office.java.util;

import java.lang.reflect.Array;
import java.util.AbstractList;
import java.util.Collection;
import java.util.Comparator;
import java.util.HashSet;
import java.util.List;
import java.util.RandomAccess;
import java.util.Set;

/**
 * This class contains various methods for manipulating arrays (such as
 * sorting and searching).  This class also contains a static factory
 * that allows arrays to be viewed as lists.
 *
 * <p>The methods in this class all throw a <tt>NullPointerException</tt> if
 * the specified array reference is null, except where noted.
 *
 * <p>The documentation for the methods contained in this class includes
 * briefs description of the <i>implementations</i>.  Such descriptions should
 * be regarded as <i>implementation notes</i>, rather than parts of the
 * <i>specification</i>.  Implementors should feel free to substitute other
 * algorithms, so long as the specification itself is adhered to.  (For
 * example, the algorithm used by <tt>sort(Object[])</tt> does not have to be
 * a mergesort, but it does have to be <i>stable</i>.)
 *
 * <p>This class is a member of the
 * <a href="{@docRoot}/../technotes/guides/collections/index.html">
 * Java Collections Framework</a>.
 *
 * @author  Josh Bloch
 * @author  Neal Gafter
 * @author  John Rose
 * @version %I%, %G%
 * @since   1.2
 */

public class Arrays
{
    // Suppresses default constructor, ensuring non-instantiability.
    private Arrays()
    {
    }

    // Sorting

    /**
     * Sorts the specified array of longs into ascending numerical order.
     * The sorting algorithm is a tuned quicksort, adapted from Jon
     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
     * 1993).  This algorithm offers n*log(n) performance on many data sets
     * that cause other quicksorts to degrade to quadratic performance.
     *
     * @param a the array to be sorted
     */
    public static void sort(long[] a)
    {
        sort1(a, 0, a.length);
    }

    /**
     * Sorts the specified range of the specified array of longs into
     * ascending numerical order.  The range to be sorted extends from index
     * <tt>fromIndex</tt>, inclusive, to index <tt>toIndex</tt>, exclusive.
     * (If <tt>fromIndex==toIndex</tt>, the range to be sorted is empty.)
     *
     * <p>The sorting algorithm is a tuned quicksort, adapted from Jon
     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
     * 1993).  This algorithm offers n*log(n) performance on many data sets
     * that cause other quicksorts to degrade to quadratic performance.
     *
     * @param a the array to be sorted
     * @param fromIndex the index of the first element (inclusive) to be
     *        sorted
     * @param toIndex the index of the last element (exclusive) to be sorted
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     * <tt>toIndex &gt; a.length</tt>
     */
    public static void sort(long[] a, int fromIndex, int toIndex)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        sort1(a, fromIndex, toIndex - fromIndex);
    }

    /**
     * Sorts the specified array of ints into ascending numerical order.
     * The sorting algorithm is a tuned quicksort, adapted from Jon
     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
     * 1993).  This algorithm offers n*log(n) performance on many data sets
     * that cause other quicksorts to degrade to quadratic performance.
     *
     * @param a the array to be sorted
     */
    public static void sort(int[] a)
    {
        sort1(a, 0, a.length);
    }

    /**
     * Sorts the specified range of the specified array of ints into
     * ascending numerical order.  The range to be sorted extends from index
     * <tt>fromIndex</tt>, inclusive, to index <tt>toIndex</tt>, exclusive.
     * (If <tt>fromIndex==toIndex</tt>, the range to be sorted is empty.)<p>
     *
     * The sorting algorithm is a tuned quicksort, adapted from Jon
     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
     * 1993).  This algorithm offers n*log(n) performance on many data sets
     * that cause other quicksorts to degrade to quadratic performance.
     *
     * @param a the array to be sorted
     * @param fromIndex the index of the first element (inclusive) to be
     *        sorted
     * @param toIndex the index of the last element (exclusive) to be sorted
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     */
    public static void sort(int[] a, int fromIndex, int toIndex)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        sort1(a, fromIndex, toIndex - fromIndex);
    }

    /**
     * Sorts the specified array of shorts into ascending numerical order.
     * The sorting algorithm is a tuned quicksort, adapted from Jon
     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
     * 1993).  This algorithm offers n*log(n) performance on many data sets
     * that cause other quicksorts to degrade to quadratic performance.
     *
     * @param a the array to be sorted
     */
    public static void sort(short[] a)
    {
        sort1(a, 0, a.length);
    }

    /**
     * Sorts the specified range of the specified array of shorts into
     * ascending numerical order.  The range to be sorted extends from index
     * <tt>fromIndex</tt>, inclusive, to index <tt>toIndex</tt>, exclusive.
     * (If <tt>fromIndex==toIndex</tt>, the range to be sorted is empty.)<p>
     *
     * The sorting algorithm is a tuned quicksort, adapted from Jon
     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
     * 1993).  This algorithm offers n*log(n) performance on many data sets
     * that cause other quicksorts to degrade to quadratic performance.
     *
     * @param a the array to be sorted
     * @param fromIndex the index of the first element (inclusive) to be
     *        sorted
     * @param toIndex the index of the last element (exclusive) to be sorted
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     */
    public static void sort(short[] a, int fromIndex, int toIndex)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        sort1(a, fromIndex, toIndex - fromIndex);
    }

    /**
     * Sorts the specified array of chars into ascending numerical order.
     * The sorting algorithm is a tuned quicksort, adapted from Jon
     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
     * 1993).  This algorithm offers n*log(n) performance on many data sets
     * that cause other quicksorts to degrade to quadratic performance.
     *
     * @param a the array to be sorted
     */
    public static void sort(char[] a)
    {
        sort1(a, 0, a.length);
    }

    /**
     * Sorts the specified range of the specified array of chars into
     * ascending numerical order.  The range to be sorted extends from index
     * <tt>fromIndex</tt>, inclusive, to index <tt>toIndex</tt>, exclusive.
     * (If <tt>fromIndex==toIndex</tt>, the range to be sorted is empty.)<p>
     *
     * The sorting algorithm is a tuned quicksort, adapted from Jon
     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
     * 1993).  This algorithm offers n*log(n) performance on many data sets
     * that cause other quicksorts to degrade to quadratic performance.
     *
     * @param a the array to be sorted
     * @param fromIndex the index of the first element (inclusive) to be
     *        sorted
     * @param toIndex the index of the last element (exclusive) to be sorted
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     */
    public static void sort(char[] a, int fromIndex, int toIndex)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        sort1(a, fromIndex, toIndex - fromIndex);
    }

    /**
     * Sorts the specified array of bytes into ascending numerical order.
     * The sorting algorithm is a tuned quicksort, adapted from Jon
     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
     * 1993).  This algorithm offers n*log(n) performance on many data sets
     * that cause other quicksorts to degrade to quadratic performance.
     *
     * @param a the array to be sorted
     */
    public static void sort(byte[] a)
    {
        sort1(a, 0, a.length);
    }

    /**
     * Sorts the specified range of the specified array of bytes into
     * ascending numerical order.  The range to be sorted extends from index
     * <tt>fromIndex</tt>, inclusive, to index <tt>toIndex</tt>, exclusive.
     * (If <tt>fromIndex==toIndex</tt>, the range to be sorted is empty.)<p>
     *
     * The sorting algorithm is a tuned quicksort, adapted from Jon
     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
     * 1993).  This algorithm offers n*log(n) performance on many data sets
     * that cause other quicksorts to degrade to quadratic performance.
     *
     * @param a the array to be sorted
     * @param fromIndex the index of the first element (inclusive) to be
     *        sorted
     * @param toIndex the index of the last element (exclusive) to be sorted
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     */
    public static void sort(byte[] a, int fromIndex, int toIndex)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        sort1(a, fromIndex, toIndex - fromIndex);
    }

    /**
     * Sorts the specified array of doubles into ascending numerical order.
     * <p>
     * The <code>&lt;</code> relation does not provide a total order on
     * all floating-point values; although they are distinct numbers
     * <code>-0.0 == 0.0</code> is <code>true</code> and a NaN value
     * compares neither less than, greater than, nor equal to any
     * floating-point value, even itself.  To allow the sort to
     * proceed, instead of using the <code>&lt;</code> relation to
     * determine ascending numerical order, this method uses the total
     * order imposed by {@link Double#compareTo}.  This ordering
     * differs from the <code>&lt;</code> relation in that
     * <code>-0.0</code> is treated as less than <code>0.0</code> and
     * NaN is considered greater than any other floating-point value.
     * For the purposes of sorting, all NaN values are considered
     * equivalent and equal.
     * <p>
     * The sorting algorithm is a tuned quicksort, adapted from Jon
     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
     * 1993).  This algorithm offers n*log(n) performance on many data sets
     * that cause other quicksorts to degrade to quadratic performance.
     *
     * @param a the array to be sorted
     */
    public static void sort(double[] a)
    {
        sort2(a, 0, a.length);
    }

    /**
     * Sorts the specified range of the specified array of doubles into
     * ascending numerical order.  The range to be sorted extends from index
     * <tt>fromIndex</tt>, inclusive, to index <tt>toIndex</tt>, exclusive.
     * (If <tt>fromIndex==toIndex</tt>, the range to be sorted is empty.)
     * <p>
     * The <code>&lt;</code> relation does not provide a total order on
     * all floating-point values; although they are distinct numbers
     * <code>-0.0 == 0.0</code> is <code>true</code> and a NaN value
     * compares neither less than, greater than, nor equal to any
     * floating-point value, even itself.  To allow the sort to
     * proceed, instead of using the <code>&lt;</code> relation to
     * determine ascending numerical order, this method uses the total
     * order imposed by {@link Double#compareTo}.  This ordering
     * differs from the <code>&lt;</code> relation in that
     * <code>-0.0</code> is treated as less than <code>0.0</code> and
     * NaN is considered greater than any other floating-point value.
     * For the purposes of sorting, all NaN values are considered
     * equivalent and equal.
     * <p>
     * The sorting algorithm is a tuned quicksort, adapted from Jon
     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
     * 1993).  This algorithm offers n*log(n) performance on many data sets
     * that cause other quicksorts to degrade to quadratic performance.
     *
     * @param a the array to be sorted
     * @param fromIndex the index of the first element (inclusive) to be
     *        sorted
     * @param toIndex the index of the last element (exclusive) to be sorted
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     */
    public static void sort(double[] a, int fromIndex, int toIndex)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        sort2(a, fromIndex, toIndex);
    }

    /**
     * Sorts the specified array of floats into ascending numerical order.
     * <p>
     * The <code>&lt;</code> relation does not provide a total order on
     * all floating-point values; although they are distinct numbers
     * <code>-0.0f == 0.0f</code> is <code>true</code> and a NaN value
     * compares neither less than, greater than, nor equal to any
     * floating-point value, even itself.  To allow the sort to
     * proceed, instead of using the <code>&lt;</code> relation to
     * determine ascending numerical order, this method uses the total
     * order imposed by {@link Float#compareTo}.  This ordering
     * differs from the <code>&lt;</code> relation in that
     * <code>-0.0f</code> is treated as less than <code>0.0f</code> and
     * NaN is considered greater than any other floating-point value.
     * For the purposes of sorting, all NaN values are considered
     * equivalent and equal.
     * <p>
     * The sorting algorithm is a tuned quicksort, adapted from Jon
     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
     * 1993).  This algorithm offers n*log(n) performance on many data sets
     * that cause other quicksorts to degrade to quadratic performance.
     *
     * @param a the array to be sorted
     */
    public static void sort(float[] a)
    {
        sort2(a, 0, a.length);
    }

    /**
     * Sorts the specified range of the specified array of floats into
     * ascending numerical order.  The range to be sorted extends from index
     * <tt>fromIndex</tt>, inclusive, to index <tt>toIndex</tt>, exclusive.
     * (If <tt>fromIndex==toIndex</tt>, the range to be sorted is empty.)
     * <p>
     * The <code>&lt;</code> relation does not provide a total order on
     * all floating-point values; although they are distinct numbers
     * <code>-0.0f == 0.0f</code> is <code>true</code> and a NaN value
     * compares neither less than, greater than, nor equal to any
     * floating-point value, even itself.  To allow the sort to
     * proceed, instead of using the <code>&lt;</code> relation to
     * determine ascending numerical order, this method uses the total
     * order imposed by {@link Float#compareTo}.  This ordering
     * differs from the <code>&lt;</code> relation in that
     * <code>-0.0f</code> is treated as less than <code>0.0f</code> and
     * NaN is considered greater than any other floating-point value.
     * For the purposes of sorting, all NaN values are considered
     * equivalent and equal.
     * <p>
     * The sorting algorithm is a tuned quicksort, adapted from Jon
     * L. Bentley and M. Douglas McIlroy's "Engineering a Sort Function",
     * Software-Practice and Experience, Vol. 23(11) P. 1249-1265 (November
     * 1993).  This algorithm offers n*log(n) performance on many data sets
     * that cause other quicksorts to degrade to quadratic performance.
     *
     * @param a the array to be sorted
     * @param fromIndex the index of the first element (inclusive) to be
     *        sorted
     * @param toIndex the index of the last element (exclusive) to be sorted
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     */
    public static void sort(float[] a, int fromIndex, int toIndex)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        sort2(a, fromIndex, toIndex);
    }

    private static void sort2(double a[], int fromIndex, int toIndex)
    {
        final long NEG_ZERO_BITS = Double.doubleToLongBits(-0.0d);
        /*
         * The sort is done in three phases to avoid the expense of using
         * NaN and -0.0 aware comparisons during the main sort.
         */

        /*
         * Preprocessing phase:  Move any NaN's to end of array, count the
         * number of -0.0's, and turn them into 0.0's.
         */
        int numNegZeros = 0;
        int i = fromIndex, n = toIndex;
        while (i < n)
        {
            if (a[i] != a[i])
            {
                double swap = a[i];
                a[i] = a[--n];
                a[n] = swap;
            }
            else
            {
                if (a[i] == 0 && Double.doubleToLongBits(a[i]) == NEG_ZERO_BITS)
                {
                    a[i] = 0.0d;
                    numNegZeros++;
                }
                i++;
            }
        }

        // Main sort phase: quicksort everything but the NaN's
        sort1(a, fromIndex, n - fromIndex);

        // Postprocessing phase: change 0.0's to -0.0's as required
        if (numNegZeros != 0)
        {
            int j = binarySearch0(a, fromIndex, n, 0.0d); // posn of ANY zero
            do
            {
                j--;
            }
            while (j >= 0 && a[j] == 0.0d);

            // j is now one less than the index of the FIRST zero
            for (int k = 0; k < numNegZeros; k++)
                a[++j] = -0.0d;
        }
    }

    private static void sort2(float a[], int fromIndex, int toIndex)
    {
        final int NEG_ZERO_BITS = Float.floatToIntBits(-0.0f);
        /*
         * The sort is done in three phases to avoid the expense of using
         * NaN and -0.0 aware comparisons during the main sort.
         */

        /*
         * Preprocessing phase:  Move any NaN's to end of array, count the
         * number of -0.0's, and turn them into 0.0's.
         */
        int numNegZeros = 0;
        int i = fromIndex, n = toIndex;
        while (i < n)
        {
            if (a[i] != a[i])
            {
                float swap = a[i];
                a[i] = a[--n];
                a[n] = swap;
            }
            else
            {
                if (a[i] == 0 && Float.floatToIntBits(a[i]) == NEG_ZERO_BITS)
                {
                    a[i] = 0.0f;
                    numNegZeros++;
                }
                i++;
            }
        }

        // Main sort phase: quicksort everything but the NaN's
        sort1(a, fromIndex, n - fromIndex);

        // Postprocessing phase: change 0.0's to -0.0's as required
        if (numNegZeros != 0)
        {
            int j = binarySearch0(a, fromIndex, n, 0.0f); // posn of ANY zero
            do
            {
                j--;
            }
            while (j >= 0 && a[j] == 0.0f);

            // j is now one less than the index of the FIRST zero
            for (int k = 0; k < numNegZeros; k++)
                a[++j] = -0.0f;
        }
    }

    /*
     * The code for each of the seven primitive types is largely identical.
     * C'est la vie.
     */

    /**
     * Sorts the specified sub-array of longs into ascending order.
     */
    private static void sort1(long x[], int off, int len)
    {
        // Insertion sort on smallest arrays
        if (len < 7)
        {
            for (int i = off; i < len + off; i++)
                for (int j = i; j > off && x[j - 1] > x[j]; j--)
                    swap(x, j, j - 1);
            return;
        }

        // Choose a partition element, v
        int m = off + (len >> 1); // Small arrays, middle element
        if (len > 7)
        {
            int l = off;
            int n = off + len - 1;
            if (len > 40)
            { // Big arrays, pseudomedian of 9
                int s = len / 8;
                l = med3(x, l, l + s, l + 2 * s);
                m = med3(x, m - s, m, m + s);
                n = med3(x, n - 2 * s, n - s, n);
            }
            m = med3(x, l, m, n); // Mid-size, med of 3
        }
        long v = x[m];

        // Establish Invariant: v* (<v)* (>v)* v*
        int a = off, b = a, c = off + len - 1, d = c;
        while (true)
        {
            while (b <= c && x[b] <= v)
            {
                if (x[b] == v)
                    swap(x, a++, b);
                b++;
            }
            while (c >= b && x[c] >= v)
            {
                if (x[c] == v)
                    swap(x, c, d--);
                c--;
            }
            if (b > c)
                break;
            swap(x, b++, c--);
        }

        // Swap partition elements back to middle
        int s, n = off + len;
        s = Math.min(a - off, b - a);
        vecswap(x, off, b - s, s);
        s = Math.min(d - c, n - d - 1);
        vecswap(x, b, n - s, s);

        // Recursively sort non-partition-elements
        if ((s = b - a) > 1)
            sort1(x, off, s);
        if ((s = d - c) > 1)
            sort1(x, n - s, s);
    }

    /**
     * Swaps x[a] with x[b].
     */
    private static void swap(long x[], int a, int b)
    {
        long t = x[a];
        x[a] = x[b];
        x[b] = t;
    }

    /**
     * Swaps x[a .. (a+n-1)] with x[b .. (b+n-1)].
     */
    private static void vecswap(long x[], int a, int b, int n)
    {
        for (int i = 0; i < n; i++, a++, b++)
            swap(x, a, b);
    }

    /**
     * Returns the index of the median of the three indexed longs.
     */
    private static int med3(long x[], int a, int b, int c)
    {
        return (x[a] < x[b] ? (x[b] < x[c] ? b : x[a] < x[c] ? c : a) : (x[b] > x[c] ? b
            : x[a] > x[c] ? c : a));
    }

    /**
     * Sorts the specified sub-array of integers into ascending order.
     */
    private static void sort1(int x[], int off, int len)
    {
        // Insertion sort on smallest arrays
        if (len < 7)
        {
            for (int i = off; i < len + off; i++)
                for (int j = i; j > off && x[j - 1] > x[j]; j--)
                    swap(x, j, j - 1);
            return;
        }

        // Choose a partition element, v
        int m = off + (len >> 1); // Small arrays, middle element
        if (len > 7)
        {
            int l = off;
            int n = off + len - 1;
            if (len > 40)
            { // Big arrays, pseudomedian of 9
                int s = len / 8;
                l = med3(x, l, l + s, l + 2 * s);
                m = med3(x, m - s, m, m + s);
                n = med3(x, n - 2 * s, n - s, n);
            }
            m = med3(x, l, m, n); // Mid-size, med of 3
        }
        int v = x[m];

        // Establish Invariant: v* (<v)* (>v)* v*
        int a = off, b = a, c = off + len - 1, d = c;
        while (true)
        {
            while (b <= c && x[b] <= v)
            {
                if (x[b] == v)
                    swap(x, a++, b);
                b++;
            }
            while (c >= b && x[c] >= v)
            {
                if (x[c] == v)
                    swap(x, c, d--);
                c--;
            }
            if (b > c)
                break;
            swap(x, b++, c--);
        }

        // Swap partition elements back to middle
        int s, n = off + len;
        s = Math.min(a - off, b - a);
        vecswap(x, off, b - s, s);
        s = Math.min(d - c, n - d - 1);
        vecswap(x, b, n - s, s);

        // Recursively sort non-partition-elements
        if ((s = b - a) > 1)
            sort1(x, off, s);
        if ((s = d - c) > 1)
            sort1(x, n - s, s);
    }

    /**
     * Swaps x[a] with x[b].
     */
    private static void swap(int x[], int a, int b)
    {
        int t = x[a];
        x[a] = x[b];
        x[b] = t;
    }

    /**
     * Swaps x[a .. (a+n-1)] with x[b .. (b+n-1)].
     */
    private static void vecswap(int x[], int a, int b, int n)
    {
        for (int i = 0; i < n; i++, a++, b++)
            swap(x, a, b);
    }

    /**
     * Returns the index of the median of the three indexed integers.
     */
    private static int med3(int x[], int a, int b, int c)
    {
        return (x[a] < x[b] ? (x[b] < x[c] ? b : x[a] < x[c] ? c : a) : (x[b] > x[c] ? b
            : x[a] > x[c] ? c : a));
    }

    /**
     * Sorts the specified sub-array of shorts into ascending order.
     */
    private static void sort1(short x[], int off, int len)
    {
        // Insertion sort on smallest arrays
        if (len < 7)
        {
            for (int i = off; i < len + off; i++)
                for (int j = i; j > off && x[j - 1] > x[j]; j--)
                    swap(x, j, j - 1);
            return;
        }

        // Choose a partition element, v
        int m = off + (len >> 1); // Small arrays, middle element
        if (len > 7)
        {
            int l = off;
            int n = off + len - 1;
            if (len > 40)
            { // Big arrays, pseudomedian of 9
                int s = len / 8;
                l = med3(x, l, l + s, l + 2 * s);
                m = med3(x, m - s, m, m + s);
                n = med3(x, n - 2 * s, n - s, n);
            }
            m = med3(x, l, m, n); // Mid-size, med of 3
        }
        short v = x[m];

        // Establish Invariant: v* (<v)* (>v)* v*
        int a = off, b = a, c = off + len - 1, d = c;
        while (true)
        {
            while (b <= c && x[b] <= v)
            {
                if (x[b] == v)
                    swap(x, a++, b);
                b++;
            }
            while (c >= b && x[c] >= v)
            {
                if (x[c] == v)
                    swap(x, c, d--);
                c--;
            }
            if (b > c)
                break;
            swap(x, b++, c--);
        }

        // Swap partition elements back to middle
        int s, n = off + len;
        s = Math.min(a - off, b - a);
        vecswap(x, off, b - s, s);
        s = Math.min(d - c, n - d - 1);
        vecswap(x, b, n - s, s);

        // Recursively sort non-partition-elements
        if ((s = b - a) > 1)
            sort1(x, off, s);
        if ((s = d - c) > 1)
            sort1(x, n - s, s);
    }

    /**
     * Swaps x[a] with x[b].
     */
    private static void swap(short x[], int a, int b)
    {
        short t = x[a];
        x[a] = x[b];
        x[b] = t;
    }

    /**
     * Swaps x[a .. (a+n-1)] with x[b .. (b+n-1)].
     */
    private static void vecswap(short x[], int a, int b, int n)
    {
        for (int i = 0; i < n; i++, a++, b++)
            swap(x, a, b);
    }

    /**
     * Returns the index of the median of the three indexed shorts.
     */
    private static int med3(short x[], int a, int b, int c)
    {
        return (x[a] < x[b] ? (x[b] < x[c] ? b : x[a] < x[c] ? c : a) : (x[b] > x[c] ? b
            : x[a] > x[c] ? c : a));
    }

    /**
     * Sorts the specified sub-array of chars into ascending order.
     */
    private static void sort1(char x[], int off, int len)
    {
        // Insertion sort on smallest arrays
        if (len < 7)
        {
            for (int i = off; i < len + off; i++)
                for (int j = i; j > off && x[j - 1] > x[j]; j--)
                    swap(x, j, j - 1);
            return;
        }

        // Choose a partition element, v
        int m = off + (len >> 1); // Small arrays, middle element
        if (len > 7)
        {
            int l = off;
            int n = off + len - 1;
            if (len > 40)
            { // Big arrays, pseudomedian of 9
                int s = len / 8;
                l = med3(x, l, l + s, l + 2 * s);
                m = med3(x, m - s, m, m + s);
                n = med3(x, n - 2 * s, n - s, n);
            }
            m = med3(x, l, m, n); // Mid-size, med of 3
        }
        char v = x[m];

        // Establish Invariant: v* (<v)* (>v)* v*
        int a = off, b = a, c = off + len - 1, d = c;
        while (true)
        {
            while (b <= c && x[b] <= v)
            {
                if (x[b] == v)
                    swap(x, a++, b);
                b++;
            }
            while (c >= b && x[c] >= v)
            {
                if (x[c] == v)
                    swap(x, c, d--);
                c--;
            }
            if (b > c)
                break;
            swap(x, b++, c--);
        }

        // Swap partition elements back to middle
        int s, n = off + len;
        s = Math.min(a - off, b - a);
        vecswap(x, off, b - s, s);
        s = Math.min(d - c, n - d - 1);
        vecswap(x, b, n - s, s);

        // Recursively sort non-partition-elements
        if ((s = b - a) > 1)
            sort1(x, off, s);
        if ((s = d - c) > 1)
            sort1(x, n - s, s);
    }

    /**
     * Swaps x[a] with x[b].
     */
    private static void swap(char x[], int a, int b)
    {
        char t = x[a];
        x[a] = x[b];
        x[b] = t;
    }

    /**
     * Swaps x[a .. (a+n-1)] with x[b .. (b+n-1)].
     */
    private static void vecswap(char x[], int a, int b, int n)
    {
        for (int i = 0; i < n; i++, a++, b++)
            swap(x, a, b);
    }

    /**
     * Returns the index of the median of the three indexed chars.
     */
    private static int med3(char x[], int a, int b, int c)
    {
        return (x[a] < x[b] ? (x[b] < x[c] ? b : x[a] < x[c] ? c : a) : (x[b] > x[c] ? b
            : x[a] > x[c] ? c : a));
    }

    /**
     * Sorts the specified sub-array of bytes into ascending order.
     */
    private static void sort1(byte x[], int off, int len)
    {
        // Insertion sort on smallest arrays
        if (len < 7)
        {
            for (int i = off; i < len + off; i++)
                for (int j = i; j > off && x[j - 1] > x[j]; j--)
                    swap(x, j, j - 1);
            return;
        }

        // Choose a partition element, v
        int m = off + (len >> 1); // Small arrays, middle element
        if (len > 7)
        {
            int l = off;
            int n = off + len - 1;
            if (len > 40)
            { // Big arrays, pseudomedian of 9
                int s = len / 8;
                l = med3(x, l, l + s, l + 2 * s);
                m = med3(x, m - s, m, m + s);
                n = med3(x, n - 2 * s, n - s, n);
            }
            m = med3(x, l, m, n); // Mid-size, med of 3
        }
        byte v = x[m];

        // Establish Invariant: v* (<v)* (>v)* v*
        int a = off, b = a, c = off + len - 1, d = c;
        while (true)
        {
            while (b <= c && x[b] <= v)
            {
                if (x[b] == v)
                    swap(x, a++, b);
                b++;
            }
            while (c >= b && x[c] >= v)
            {
                if (x[c] == v)
                    swap(x, c, d--);
                c--;
            }
            if (b > c)
                break;
            swap(x, b++, c--);
        }

        // Swap partition elements back to middle
        int s, n = off + len;
        s = Math.min(a - off, b - a);
        vecswap(x, off, b - s, s);
        s = Math.min(d - c, n - d - 1);
        vecswap(x, b, n - s, s);

        // Recursively sort non-partition-elements
        if ((s = b - a) > 1)
            sort1(x, off, s);
        if ((s = d - c) > 1)
            sort1(x, n - s, s);
    }

    /**
     * Swaps x[a] with x[b].
     */
    private static void swap(byte x[], int a, int b)
    {
        byte t = x[a];
        x[a] = x[b];
        x[b] = t;
    }

    /**
     * Swaps x[a .. (a+n-1)] with x[b .. (b+n-1)].
     */
    private static void vecswap(byte x[], int a, int b, int n)
    {
        for (int i = 0; i < n; i++, a++, b++)
            swap(x, a, b);
    }

    /**
     * Returns the index of the median of the three indexed bytes.
     */
    private static int med3(byte x[], int a, int b, int c)
    {
        return (x[a] < x[b] ? (x[b] < x[c] ? b : x[a] < x[c] ? c : a) : (x[b] > x[c] ? b
            : x[a] > x[c] ? c : a));
    }

    /**
     * Sorts the specified sub-array of doubles into ascending order.
     */
    private static void sort1(double x[], int off, int len)
    {
        // Insertion sort on smallest arrays
        if (len < 7)
        {
            for (int i = off; i < len + off; i++)
                for (int j = i; j > off && x[j - 1] > x[j]; j--)
                    swap(x, j, j - 1);
            return;
        }

        // Choose a partition element, v
        int m = off + (len >> 1); // Small arrays, middle element
        if (len > 7)
        {
            int l = off;
            int n = off + len - 1;
            if (len > 40)
            { // Big arrays, pseudomedian of 9
                int s = len / 8;
                l = med3(x, l, l + s, l + 2 * s);
                m = med3(x, m - s, m, m + s);
                n = med3(x, n - 2 * s, n - s, n);
            }
            m = med3(x, l, m, n); // Mid-size, med of 3
        }
        double v = x[m];

        // Establish Invariant: v* (<v)* (>v)* v*
        int a = off, b = a, c = off + len - 1, d = c;
        while (true)
        {
            while (b <= c && x[b] <= v)
            {
                if (x[b] == v)
                    swap(x, a++, b);
                b++;
            }
            while (c >= b && x[c] >= v)
            {
                if (x[c] == v)
                    swap(x, c, d--);
                c--;
            }
            if (b > c)
                break;
            swap(x, b++, c--);
        }

        // Swap partition elements back to middle
        int s, n = off + len;
        s = Math.min(a - off, b - a);
        vecswap(x, off, b - s, s);
        s = Math.min(d - c, n - d - 1);
        vecswap(x, b, n - s, s);

        // Recursively sort non-partition-elements
        if ((s = b - a) > 1)
            sort1(x, off, s);
        if ((s = d - c) > 1)
            sort1(x, n - s, s);
    }

    /**
     * Swaps x[a] with x[b].
     */
    private static void swap(double x[], int a, int b)
    {
        double t = x[a];
        x[a] = x[b];
        x[b] = t;
    }

    /**
     * Swaps x[a .. (a+n-1)] with x[b .. (b+n-1)].
     */
    private static void vecswap(double x[], int a, int b, int n)
    {
        for (int i = 0; i < n; i++, a++, b++)
            swap(x, a, b);
    }

    /**
     * Returns the index of the median of the three indexed doubles.
     */
    private static int med3(double x[], int a, int b, int c)
    {
        return (x[a] < x[b] ? (x[b] < x[c] ? b : x[a] < x[c] ? c : a) : (x[b] > x[c] ? b
            : x[a] > x[c] ? c : a));
    }

    /**
     * Sorts the specified sub-array of floats into ascending order.
     */
    private static void sort1(float x[], int off, int len)
    {
        // Insertion sort on smallest arrays
        if (len < 7)
        {
            for (int i = off; i < len + off; i++)
                for (int j = i; j > off && x[j - 1] > x[j]; j--)
                    swap(x, j, j - 1);
            return;
        }

        // Choose a partition element, v
        int m = off + (len >> 1); // Small arrays, middle element
        if (len > 7)
        {
            int l = off;
            int n = off + len - 1;
            if (len > 40)
            { // Big arrays, pseudomedian of 9
                int s = len / 8;
                l = med3(x, l, l + s, l + 2 * s);
                m = med3(x, m - s, m, m + s);
                n = med3(x, n - 2 * s, n - s, n);
            }
            m = med3(x, l, m, n); // Mid-size, med of 3
        }
        float v = x[m];

        // Establish Invariant: v* (<v)* (>v)* v*
        int a = off, b = a, c = off + len - 1, d = c;
        while (true)
        {
            while (b <= c && x[b] <= v)
            {
                if (x[b] == v)
                    swap(x, a++, b);
                b++;
            }
            while (c >= b && x[c] >= v)
            {
                if (x[c] == v)
                    swap(x, c, d--);
                c--;
            }
            if (b > c)
                break;
            swap(x, b++, c--);
        }

        // Swap partition elements back to middle
        int s, n = off + len;
        s = Math.min(a - off, b - a);
        vecswap(x, off, b - s, s);
        s = Math.min(d - c, n - d - 1);
        vecswap(x, b, n - s, s);

        // Recursively sort non-partition-elements
        if ((s = b - a) > 1)
            sort1(x, off, s);
        if ((s = d - c) > 1)
            sort1(x, n - s, s);
    }

    /**
     * Swaps x[a] with x[b].
     */
    private static void swap(float x[], int a, int b)
    {
        float t = x[a];
        x[a] = x[b];
        x[b] = t;
    }

    /**
     * Swaps x[a .. (a+n-1)] with x[b .. (b+n-1)].
     */
    private static void vecswap(float x[], int a, int b, int n)
    {
        for (int i = 0; i < n; i++, a++, b++)
            swap(x, a, b);
    }

    /**
     * Returns the index of the median of the three indexed floats.
     */
    private static int med3(float x[], int a, int b, int c)
    {
        return (x[a] < x[b] ? (x[b] < x[c] ? b : x[a] < x[c] ? c : a) : (x[b] > x[c] ? b
            : x[a] > x[c] ? c : a));
    }

    /**
     * Sorts the specified array of objects into ascending order, according to
     * the {@linkplain Comparable natural ordering}
     * of its elements.  All elements in the array
     * must implement the {@link Comparable} interface.  Furthermore, all
     * elements in the array must be <i>mutually comparable</i> (that is,
     * <tt>e1.compareTo(e2)</tt> must not throw a <tt>ClassCastException</tt>
     * for any elements <tt>e1</tt> and <tt>e2</tt> in the array).<p>
     *
     * This sort is guaranteed to be <i>stable</i>:  equal elements will
     * not be reordered as a result of the sort.<p>
     *
     * The sorting algorithm is a modified mergesort (in which the merge is
     * omitted if the highest element in the low sublist is less than the
     * lowest element in the high sublist).  This algorithm offers guaranteed
     * n*log(n) performance.
     *
     * @param a the array to be sorted
     * @throws  ClassCastException if the array contains elements that are not
     *		<i>mutually comparable</i> (for example, strings and integers).
     */
    public static void sort(Object[] a)
    {
        Object[] aux = (Object[])a.clone();
        mergeSort(aux, a, 0, a.length, 0);
    }

    /**
     * Sorts the specified range of the specified array of objects into
     * ascending order, according to the
     * {@linkplain Comparable natural ordering} of its
     * elements.  The range to be sorted extends from index
     * <tt>fromIndex</tt>, inclusive, to index <tt>toIndex</tt>, exclusive.
     * (If <tt>fromIndex==toIndex</tt>, the range to be sorted is empty.)  All
     * elements in this range must implement the {@link Comparable}
     * interface.  Furthermore, all elements in this range must be <i>mutually
     * comparable</i> (that is, <tt>e1.compareTo(e2)</tt> must not throw a
     * <tt>ClassCastException</tt> for any elements <tt>e1</tt> and
     * <tt>e2</tt> in the array).<p>
     *
     * This sort is guaranteed to be <i>stable</i>:  equal elements will
     * not be reordered as a result of the sort.<p>
     *
     * The sorting algorithm is a modified mergesort (in which the merge is
     * omitted if the highest element in the low sublist is less than the
     * lowest element in the high sublist).  This algorithm offers guaranteed
     * n*log(n) performance.
     *
     * @param a the array to be sorted
     * @param fromIndex the index of the first element (inclusive) to be
     *        sorted
     * @param toIndex the index of the last element (exclusive) to be sorted
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     * @throws    ClassCastException if the array contains elements that are
     *		  not <i>mutually comparable</i> (for example, strings and
     *		  integers).
     */
    public static void sort(Object[] a, int fromIndex, int toIndex)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        Object[] aux = copyOfRange(a, fromIndex, toIndex);
        mergeSort(aux, a, fromIndex, toIndex, -fromIndex);
    }

    /**
     * Tuning parameter: list size at or below which insertion sort will be
     * used in preference to mergesort or quicksort.
     */
    private static final int INSERTIONSORT_THRESHOLD = 7;

    /**
     * Src is the source array that starts at index 0
     * Dest is the (possibly larger) array destination with a possible offset
     * low is the index in dest to start sorting
     * high is the end index in dest to end sorting
     * off is the offset to generate corresponding low, high in src
     */
    private static void mergeSort(Object[] src, Object[] dest, int low, int high, int off)
    {
        int length = high - low;

        // Insertion sort on smallest arrays
        if (length < INSERTIONSORT_THRESHOLD)
        {
            for (int i = low; i < high; i++)
                for (int j = i; j > low && ((Comparable)dest[j - 1]).compareTo(dest[j]) > 0; j--)
                    swap(dest, j, j - 1);
            return;
        }

        // Recursively sort halves of dest into src
        int destLow = low;
        int destHigh = high;
        low += off;
        high += off;
        int mid = (low + high) >>> 1;
        mergeSort(dest, src, low, mid, -off);
        mergeSort(dest, src, mid, high, -off);

        // If list is already sorted, just copy from src to dest.  This is an
        // optimization that results in faster sorts for nearly ordered lists.
        if (((Comparable)src[mid - 1]).compareTo(src[mid]) <= 0)
        {
            System.arraycopy(src, low, dest, destLow, length);
            return;
        }

        // Merge sorted halves (now in src) into dest
        for (int i = destLow, p = low, q = mid; i < destHigh; i++)
        {
            if (q >= high || p < mid && ((Comparable)src[p]).compareTo(src[q]) <= 0)
                dest[i] = src[p++];
            else
                dest[i] = src[q++];
        }
    }

    /**
     * Swaps x[a] with x[b].
     */
    private static void swap(Object[] x, int a, int b)
    {
        Object t = x[a];
        x[a] = x[b];
        x[b] = t;
    }

    /**
     * Sorts the specified array of objects according to the order induced by
     * the specified comparator.  All elements in the array must be
     * <i>mutually comparable</i> by the specified comparator (that is,
     * <tt>c.compare(e1, e2)</tt> must not throw a <tt>ClassCastException</tt>
     * for any elements <tt>e1</tt> and <tt>e2</tt> in the array).<p>
     *
     * This sort is guaranteed to be <i>stable</i>:  equal elements will
     * not be reordered as a result of the sort.<p>
     *
     * The sorting algorithm is a modified mergesort (in which the merge is
     * omitted if the highest element in the low sublist is less than the
     * lowest element in the high sublist).  This algorithm offers guaranteed
     * n*log(n) performance.
     *
     * @param a the array to be sorted
     * @param c the comparator to determine the order of the array.  A
     *        <tt>null</tt> value indicates that the elements'
     *        {@linkplain Comparable natural ordering} should be used.
     * @throws  ClassCastException if the array contains elements that are
     *		not <i>mutually comparable</i> using the specified comparator.
     */
    public static <T>void sort(T[] a, Comparator< ? super T> c)
    {
        T[] aux = (T[])a.clone();
        if (c == null)
            mergeSort(aux, a, 0, a.length, 0);
        else
            mergeSort(aux, a, 0, a.length, 0, c);
    }

    /**
     * Sorts the specified range of the specified array of objects according
     * to the order induced by the specified comparator.  The range to be
     * sorted extends from index <tt>fromIndex</tt>, inclusive, to index
     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
     * range to be sorted is empty.)  All elements in the range must be
     * <i>mutually comparable</i> by the specified comparator (that is,
     * <tt>c.compare(e1, e2)</tt> must not throw a <tt>ClassCastException</tt>
     * for any elements <tt>e1</tt> and <tt>e2</tt> in the range).<p>
     *
     * This sort is guaranteed to be <i>stable</i>:  equal elements will
     * not be reordered as a result of the sort.<p>
     *
     * The sorting algorithm is a modified mergesort (in which the merge is
     * omitted if the highest element in the low sublist is less than the
     * lowest element in the high sublist).  This algorithm offers guaranteed
     * n*log(n) performance.
     *
     * @param a the array to be sorted
     * @param fromIndex the index of the first element (inclusive) to be
     *        sorted
     * @param toIndex the index of the last element (exclusive) to be sorted
     * @param c the comparator to determine the order of the array.  A
     *        <tt>null</tt> value indicates that the elements'
     *        {@linkplain Comparable natural ordering} should be used.
     * @throws ClassCastException if the array contains elements that are not
     *	       <i>mutually comparable</i> using the specified comparator.
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     */
    public static <T>void sort(T[] a, int fromIndex, int toIndex, Comparator< ? super T> c)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        T[] aux = (T[])copyOfRange(a, fromIndex, toIndex);
        if (c == null)
            mergeSort(aux, a, fromIndex, toIndex, -fromIndex);
        else
            mergeSort(aux, a, fromIndex, toIndex, -fromIndex, c);
    }

    /**
     * Src is the source array that starts at index 0
     * Dest is the (possibly larger) array destination with a possible offset
     * low is the index in dest to start sorting
     * high is the end index in dest to end sorting
     * off is the offset into src corresponding to low in dest
     */
    private static void mergeSort(Object[] src, Object[] dest, int low, int high, int off,
        Comparator c)
    {
        int length = high - low;

        // Insertion sort on smallest arrays
        if (length < INSERTIONSORT_THRESHOLD)
        {
            for (int i = low; i < high; i++)
                for (int j = i; j > low && c.compare(dest[j - 1], dest[j]) > 0; j--)
                    swap(dest, j, j - 1);
            return;
        }

        // Recursively sort halves of dest into src
        int destLow = low;
        int destHigh = high;
        low += off;
        high += off;
        int mid = (low + high) >>> 1;
        mergeSort(dest, src, low, mid, -off, c);
        mergeSort(dest, src, mid, high, -off, c);

        // If list is already sorted, just copy from src to dest.  This is an
        // optimization that results in faster sorts for nearly ordered lists.
        if (c.compare(src[mid - 1], src[mid]) <= 0)
        {
            System.arraycopy(src, low, dest, destLow, length);
            return;
        }

        // Merge sorted halves (now in src) into dest
        for (int i = destLow, p = low, q = mid; i < destHigh; i++)
        {
            if (q >= high || p < mid && c.compare(src[p], src[q]) <= 0)
                dest[i] = src[p++];
            else
                dest[i] = src[q++];
        }
    }

    /**
     * Check that fromIndex and toIndex are in range, and throw an
     * appropriate exception if they aren't.
     */
    private static void rangeCheck(int arrayLen, int fromIndex, int toIndex)
    {
        if (fromIndex > toIndex)
            throw new IllegalArgumentException("fromIndex(" + fromIndex + ") > toIndex(" + toIndex
                + ")");
        if (fromIndex < 0)
            throw new ArrayIndexOutOfBoundsException(fromIndex);
        if (toIndex > arrayLen)
            throw new ArrayIndexOutOfBoundsException(toIndex);
    }

    // Searching

    /**
     * Searches the specified array of longs for the specified value using the
     * binary search algorithm.  The array must be sorted (as
     * by the {@link #sort(long[])} method) prior to making this call.  If it
     * is not sorted, the results are undefined.  If the array contains
     * multiple elements with the specified value, there is no guarantee which
     * one will be found.
     *
     * @param a the array to be searched
     * @param key the value to be searched for
     * @return index of the search key, if it is contained in the array;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element greater than the key, or <tt>a.length</tt> if all
     *	       elements in the array are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     */
    public static int binarySearch(long[] a, long key)
    {
        return binarySearch0(a, 0, a.length, key);
    }

    /**
     * Searches a range of
     * the specified array of longs for the specified value using the
     * binary search algorithm.
     * The range must be sorted (as
     * by the {@link #sort(long[], int, int)} method)
     * prior to making this call.  If it
     * is not sorted, the results are undefined.  If the range contains
     * multiple elements with the specified value, there is no guarantee which
     * one will be found.
     *
     * @param a the array to be searched
     * @param fromIndex the index of the first element (inclusive) to be
     *		searched
     * @param toIndex the index of the last element (exclusive) to be searched
     * @param key the value to be searched for
     * @return index of the search key, if it is contained in the array
     *	       within the specified range;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element in the range greater than the key,
     *	       or <tt>toIndex</tt> if all
     *	       elements in the range are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     * @throws IllegalArgumentException
     *	       if {@code fromIndex > toIndex}
     * @throws ArrayIndexOutOfBoundsException
     *	       if {@code fromIndex < 0 or toIndex > a.length}
     * @since 1.6
     */
    public static int binarySearch(long[] a, int fromIndex, int toIndex, long key)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        return binarySearch0(a, fromIndex, toIndex, key);
    }

    // Like public version, but without range checks.
    private static int binarySearch0(long[] a, int fromIndex, int toIndex, long key)
    {
        int low = fromIndex;
        int high = toIndex - 1;

        while (low <= high)
        {
            int mid = (low + high) >>> 1;
            long midVal = a[mid];

            if (midVal < key)
                low = mid + 1;
            else if (midVal > key)
                high = mid - 1;
            else
                return mid; // key found
        }
        return -(low + 1); // key not found.
    }

    /**
     * Searches the specified array of ints for the specified value using the
     * binary search algorithm.  The array must be sorted (as
     * by the {@link #sort(int[])} method) prior to making this call.  If it
     * is not sorted, the results are undefined.  If the array contains
     * multiple elements with the specified value, there is no guarantee which
     * one will be found.
     *
     * @param a the array to be searched
     * @param key the value to be searched for
     * @return index of the search key, if it is contained in the array;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element greater than the key, or <tt>a.length</tt> if all
     *	       elements in the array are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     */
    public static int binarySearch(int[] a, int key)
    {
        return binarySearch0(a, 0, a.length, key);
    }

    /**
     * Searches a range of
     * the specified array of ints for the specified value using the
     * binary search algorithm.
     * The range must be sorted (as
     * by the {@link #sort(int[], int, int)} method)
     * prior to making this call.  If it
     * is not sorted, the results are undefined.  If the range contains
     * multiple elements with the specified value, there is no guarantee which
     * one will be found.
     *
     * @param a the array to be searched
     * @param fromIndex the index of the first element (inclusive) to be
     *		searched
     * @param toIndex the index of the last element (exclusive) to be searched
     * @param key the value to be searched for
     * @return index of the search key, if it is contained in the array
     *	       within the specified range;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element in the range greater than the key,
     *	       or <tt>toIndex</tt> if all
     *	       elements in the range are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     * @throws IllegalArgumentException
     *	       if {@code fromIndex > toIndex}
     * @throws ArrayIndexOutOfBoundsException
     *	       if {@code fromIndex < 0 or toIndex > a.length}
     * @since 1.6
     */
    public static int binarySearch(int[] a, int fromIndex, int toIndex, int key)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        return binarySearch0(a, fromIndex, toIndex, key);
    }

    // Like public version, but without range checks.
    private static int binarySearch0(int[] a, int fromIndex, int toIndex, int key)
    {
        int low = fromIndex;
        int high = toIndex - 1;

        while (low <= high)
        {
            int mid = (low + high) >>> 1;
            int midVal = a[mid];

            if (midVal < key)
                low = mid + 1;
            else if (midVal > key)
                high = mid - 1;
            else
                return mid; // key found
        }
        return -(low + 1); // key not found.
    }

    /**
     * Searches the specified array of shorts for the specified value using
     * the binary search algorithm.  The array must be sorted
     * (as by the {@link #sort(short[])} method) prior to making this call.  If
     * it is not sorted, the results are undefined.  If the array contains
     * multiple elements with the specified value, there is no guarantee which
     * one will be found.
     *
     * @param a the array to be searched
     * @param key the value to be searched for
     * @return index of the search key, if it is contained in the array;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element greater than the key, or <tt>a.length</tt> if all
     *	       elements in the array are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     */
    public static int binarySearch(short[] a, short key)
    {
        return binarySearch0(a, 0, a.length, key);
    }

    /**
     * Searches a range of
     * the specified array of shorts for the specified value using
     * the binary search algorithm.
     * The range must be sorted
     * (as by the {@link #sort(short[], int, int)} method)
     * prior to making this call.  If
     * it is not sorted, the results are undefined.  If the range contains
     * multiple elements with the specified value, there is no guarantee which
     * one will be found.
     *
     * @param a the array to be searched
     * @param fromIndex the index of the first element (inclusive) to be
     *		searched
     * @param toIndex the index of the last element (exclusive) to be searched
     * @param key the value to be searched for
     * @return index of the search key, if it is contained in the array
     *	       within the specified range;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element in the range greater than the key,
     *	       or <tt>toIndex</tt> if all
     *	       elements in the range are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     * @throws IllegalArgumentException
     *	       if {@code fromIndex > toIndex}
     * @throws ArrayIndexOutOfBoundsException
     *	       if {@code fromIndex < 0 or toIndex > a.length}
     * @since 1.6
     */
    public static int binarySearch(short[] a, int fromIndex, int toIndex, short key)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        return binarySearch0(a, fromIndex, toIndex, key);
    }

    // Like public version, but without range checks.
    private static int binarySearch0(short[] a, int fromIndex, int toIndex, short key)
    {
        int low = fromIndex;
        int high = toIndex - 1;

        while (low <= high)
        {
            int mid = (low + high) >>> 1;
            short midVal = a[mid];

            if (midVal < key)
                low = mid + 1;
            else if (midVal > key)
                high = mid - 1;
            else
                return mid; // key found
        }
        return -(low + 1); // key not found.
    }

    /**
     * Searches the specified array of chars for the specified value using the
     * binary search algorithm.  The array must be sorted (as
     * by the {@link #sort(char[])} method) prior to making this call.  If it
     * is not sorted, the results are undefined.  If the array contains
     * multiple elements with the specified value, there is no guarantee which
     * one will be found.
     *
     * @param a the array to be searched
     * @param key the value to be searched for
     * @return index of the search key, if it is contained in the array;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element greater than the key, or <tt>a.length</tt> if all
     *	       elements in the array are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     */
    public static int binarySearch(char[] a, char key)
    {
        return binarySearch0(a, 0, a.length, key);
    }

    /**
     * Searches a range of
     * the specified array of chars for the specified value using the
     * binary search algorithm.
     * The range must be sorted (as
     * by the {@link #sort(char[], int, int)} method)
     * prior to making this call.  If it
     * is not sorted, the results are undefined.  If the range contains
     * multiple elements with the specified value, there is no guarantee which
     * one will be found.
     *
     * @param a the array to be searched
     * @param fromIndex the index of the first element (inclusive) to be
     *		searched
     * @param toIndex the index of the last element (exclusive) to be searched
     * @param key the value to be searched for
     * @return index of the search key, if it is contained in the array
     *	       within the specified range;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element in the range greater than the key,
     *	       or <tt>toIndex</tt> if all
     *	       elements in the range are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     * @throws IllegalArgumentException
     *	       if {@code fromIndex > toIndex}
     * @throws ArrayIndexOutOfBoundsException
     *	       if {@code fromIndex < 0 or toIndex > a.length}
     * @since 1.6
     */
    public static int binarySearch(char[] a, int fromIndex, int toIndex, char key)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        return binarySearch0(a, fromIndex, toIndex, key);
    }

    // Like public version, but without range checks.
    private static int binarySearch0(char[] a, int fromIndex, int toIndex, char key)
    {
        int low = fromIndex;
        int high = toIndex - 1;

        while (low <= high)
        {
            int mid = (low + high) >>> 1;
            char midVal = a[mid];

            if (midVal < key)
                low = mid + 1;
            else if (midVal > key)
                high = mid - 1;
            else
                return mid; // key found
        }
        return -(low + 1); // key not found.
    }

    /**
     * Searches the specified array of bytes for the specified value using the
     * binary search algorithm.  The array must be sorted (as
     * by the {@link #sort(byte[])} method) prior to making this call.  If it
     * is not sorted, the results are undefined.  If the array contains
     * multiple elements with the specified value, there is no guarantee which
     * one will be found.
     *
     * @param a the array to be searched
     * @param key the value to be searched for
     * @return index of the search key, if it is contained in the array;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element greater than the key, or <tt>a.length</tt> if all
     *	       elements in the array are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     */
    public static int binarySearch(byte[] a, byte key)
    {
        return binarySearch0(a, 0, a.length, key);
    }

    /**
     * Searches a range of
     * the specified array of bytes for the specified value using the
     * binary search algorithm.
     * The range must be sorted (as
     * by the {@link #sort(byte[], int, int)} method)
     * prior to making this call.  If it
     * is not sorted, the results are undefined.  If the range contains
     * multiple elements with the specified value, there is no guarantee which
     * one will be found.
     *
     * @param a the array to be searched
     * @param fromIndex the index of the first element (inclusive) to be
     *		searched
     * @param toIndex the index of the last element (exclusive) to be searched
     * @param key the value to be searched for
     * @return index of the search key, if it is contained in the array
     *	       within the specified range;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element in the range greater than the key,
     *	       or <tt>toIndex</tt> if all
     *	       elements in the range are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     * @throws IllegalArgumentException
     *	       if {@code fromIndex > toIndex}
     * @throws ArrayIndexOutOfBoundsException
     *	       if {@code fromIndex < 0 or toIndex > a.length}
     * @since 1.6
     */
    public static int binarySearch(byte[] a, int fromIndex, int toIndex, byte key)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        return binarySearch0(a, fromIndex, toIndex, key);
    }

    // Like public version, but without range checks.
    private static int binarySearch0(byte[] a, int fromIndex, int toIndex, byte key)
    {
        int low = fromIndex;
        int high = toIndex - 1;

        while (low <= high)
        {
            int mid = (low + high) >>> 1;
            byte midVal = a[mid];

            if (midVal < key)
                low = mid + 1;
            else if (midVal > key)
                high = mid - 1;
            else
                return mid; // key found
        }
        return -(low + 1); // key not found.
    }

    /**
     * Searches the specified array of doubles for the specified value using
     * the binary search algorithm.  The array must be sorted
     * (as by the {@link #sort(double[])} method) prior to making this call.
     * If it is not sorted, the results are undefined.  If the array contains
     * multiple elements with the specified value, there is no guarantee which
     * one will be found.  This method considers all NaN values to be
     * equivalent and equal.
     *
     * @param a the array to be searched
     * @param key the value to be searched for
     * @return index of the search key, if it is contained in the array;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element greater than the key, or <tt>a.length</tt> if all
     *	       elements in the array are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     */
    public static int binarySearch(double[] a, double key)
    {
        return binarySearch0(a, 0, a.length, key);
    }

    /**
     * Searches a range of
     * the specified array of doubles for the specified value using
     * the binary search algorithm.
     * The range must be sorted
     * (as by the {@link #sort(double[], int, int)} method)
     * prior to making this call.
     * If it is not sorted, the results are undefined.  If the range contains
     * multiple elements with the specified value, there is no guarantee which
     * one will be found.  This method considers all NaN values to be
     * equivalent and equal.
     *
     * @param a the array to be searched
     * @param fromIndex the index of the first element (inclusive) to be
     *		searched
     * @param toIndex the index of the last element (exclusive) to be searched
     * @param key the value to be searched for
     * @return index of the search key, if it is contained in the array
     *	       within the specified range;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element in the range greater than the key,
     *	       or <tt>toIndex</tt> if all
     *	       elements in the range are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     * @throws IllegalArgumentException
     *	       if {@code fromIndex > toIndex}
     * @throws ArrayIndexOutOfBoundsException
     *	       if {@code fromIndex < 0 or toIndex > a.length}
     * @since 1.6
     */
    public static int binarySearch(double[] a, int fromIndex, int toIndex, double key)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        return binarySearch0(a, fromIndex, toIndex, key);
    }

    // Like public version, but without range checks.
    private static int binarySearch0(double[] a, int fromIndex, int toIndex, double key)
    {
        int low = fromIndex;
        int high = toIndex - 1;

        while (low <= high)
        {
            int mid = (low + high) >>> 1;
            double midVal = a[mid];

            int cmp;
            if (midVal < key)
            {
                cmp = -1; // Neither val is NaN, thisVal is smaller
            }
            else if (midVal > key)
            {
                cmp = 1; // Neither val is NaN, thisVal is larger
            }
            else
            {
                long midBits = Double.doubleToLongBits(midVal);
                long keyBits = Double.doubleToLongBits(key);
                cmp = (midBits == keyBits ? 0 : // Values are equal
                    (midBits < keyBits ? -1 : // (-0.0, 0.0) or (!NaN, NaN)
                        1)); // (0.0, -0.0) or (NaN, !NaN)
            }

            if (cmp < 0)
                low = mid + 1;
            else if (cmp > 0)
                high = mid - 1;
            else
                return mid; // key found
        }
        return -(low + 1); // key not found.
    }

    /**
     * Searches the specified array of floats for the specified value using
     * the binary search algorithm.  The array must be sorted
     * (as by the {@link #sort(float[])} method) prior to making this call.  If
     * it is not sorted, the results are undefined.  If the array contains
     * multiple elements with the specified value, there is no guarantee which
     * one will be found.  This method considers all NaN values to be
     * equivalent and equal.
     *
     * @param a the array to be searched
     * @param key the value to be searched for
     * @return index of the search key, if it is contained in the array;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element greater than the key, or <tt>a.length</tt> if all
     *	       elements in the array are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     */
    public static int binarySearch(float[] a, float key)
    {
        return binarySearch0(a, 0, a.length, key);
    }

    /**
     * Searches a range of
     * the specified array of floats for the specified value using
     * the binary search algorithm.
     * The range must be sorted
     * (as by the {@link #sort(float[], int, int)} method)
     * prior to making this call.  If
     * it is not sorted, the results are undefined.  If the range contains
     * multiple elements with the specified value, there is no guarantee which
     * one will be found.  This method considers all NaN values to be
     * equivalent and equal.
     *
     * @param a the array to be searched
     * @param fromIndex the index of the first element (inclusive) to be
     *		searched
     * @param toIndex the index of the last element (exclusive) to be searched
     * @param key the value to be searched for
     * @return index of the search key, if it is contained in the array
     *	       within the specified range;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element in the range greater than the key,
     *	       or <tt>toIndex</tt> if all
     *	       elements in the range are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     * @throws IllegalArgumentException
     *	       if {@code fromIndex > toIndex}
     * @throws ArrayIndexOutOfBoundsException
     *	       if {@code fromIndex < 0 or toIndex > a.length}
     * @since 1.6
     */
    public static int binarySearch(float[] a, int fromIndex, int toIndex, float key)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        return binarySearch0(a, fromIndex, toIndex, key);
    }

    // Like public version, but without range checks.
    private static int binarySearch0(float[] a, int fromIndex, int toIndex, float key)
    {
        int low = fromIndex;
        int high = toIndex - 1;

        while (low <= high)
        {
            int mid = (low + high) >>> 1;
            float midVal = a[mid];

            int cmp;
            if (midVal < key)
            {
                cmp = -1; // Neither val is NaN, thisVal is smaller
            }
            else if (midVal > key)
            {
                cmp = 1; // Neither val is NaN, thisVal is larger
            }
            else
            {
                int midBits = Float.floatToIntBits(midVal);
                int keyBits = Float.floatToIntBits(key);
                cmp = (midBits == keyBits ? 0 : // Values are equal
                    (midBits < keyBits ? -1 : // (-0.0, 0.0) or (!NaN, NaN)
                        1)); // (0.0, -0.0) or (NaN, !NaN)
            }

            if (cmp < 0)
                low = mid + 1;
            else if (cmp > 0)
                high = mid - 1;
            else
                return mid; // key found
        }
        return -(low + 1); // key not found.
    }

    /**
     * Searches the specified array for the specified object using the binary
     * search algorithm.  The array must be sorted into ascending order
     * according to the
     * {@linkplain Comparable natural ordering}
     * of its elements (as by the
     * {@link #sort(Object[])} method) prior to making this call.
     * If it is not sorted, the results are undefined.
     * (If the array contains elements that are not mutually comparable (for
     * example, strings and integers), it <i>cannot</i> be sorted according
     * to the natural ordering of its elements, hence results are undefined.)
     * If the array contains multiple
     * elements equal to the specified object, there is no guarantee which
     * one will be found.
     *
     * @param a the array to be searched
     * @param key the value to be searched for
     * @return index of the search key, if it is contained in the array;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element greater than the key, or <tt>a.length</tt> if all
     *	       elements in the array are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     * @throws ClassCastException if the search key is not comparable to the
     *         elements of the array.
     */
    public static int binarySearch(Object[] a, Object key)
    {
        return binarySearch0(a, 0, a.length, key);
    }

    /**
     * Searches a range of
     * the specified array for the specified object using the binary
     * search algorithm.
     * The range must be sorted into ascending order
     * according to the
     * {@linkplain Comparable natural ordering}
     * of its elements (as by the
     * {@link #sort(Object[], int, int)} method) prior to making this
     * call.  If it is not sorted, the results are undefined.
     * (If the range contains elements that are not mutually comparable (for
     * example, strings and integers), it <i>cannot</i> be sorted according
     * to the natural ordering of its elements, hence results are undefined.)
     * If the range contains multiple
     * elements equal to the specified object, there is no guarantee which
     * one will be found.
     *
     * @param a the array to be searched
     * @param fromIndex the index of the first element (inclusive) to be
     *		searched
     * @param toIndex the index of the last element (exclusive) to be searched
     * @param key the value to be searched for
     * @return index of the search key, if it is contained in the array
     *	       within the specified range;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element in the range greater than the key,
     *	       or <tt>toIndex</tt> if all
     *	       elements in the range are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     * @throws ClassCastException if the search key is not comparable to the
     *         elements of the array within the specified range.
     * @throws IllegalArgumentException
     *	       if {@code fromIndex > toIndex}
     * @throws ArrayIndexOutOfBoundsException
     *	       if {@code fromIndex < 0 or toIndex > a.length}
     * @since 1.6
     */
    public static int binarySearch(Object[] a, int fromIndex, int toIndex, Object key)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        return binarySearch0(a, fromIndex, toIndex, key);
    }

    // Like public version, but without range checks.
    private static int binarySearch0(Object[] a, int fromIndex, int toIndex, Object key)
    {
        int low = fromIndex;
        int high = toIndex - 1;

        while (low <= high)
        {
            int mid = (low + high) >>> 1;
            Comparable midVal = (Comparable)a[mid];
            int cmp = midVal.compareTo(key);

            if (cmp < 0)
                low = mid + 1;
            else if (cmp > 0)
                high = mid - 1;
            else
                return mid; // key found
        }
        return -(low + 1); // key not found.
    }

    /**
     * Searches the specified array for the specified object using the binary
     * search algorithm.  The array must be sorted into ascending order
     * according to the specified comparator (as by the
     * {@link #sort(Object[], Comparator) sort(T[], Comparator)}
     * method) prior to making this call.  If it is
     * not sorted, the results are undefined.
     * If the array contains multiple
     * elements equal to the specified object, there is no guarantee which one
     * will be found.
     *
     * @param a the array to be searched
     * @param key the value to be searched for
     * @param c the comparator by which the array is ordered.  A
     *        <tt>null</tt> value indicates that the elements'
     *	      {@linkplain Comparable natural ordering} should be used.
     * @return index of the search key, if it is contained in the array;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element greater than the key, or <tt>a.length</tt> if all
     *	       elements in the array are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     * @throws ClassCastException if the array contains elements that are not
     *	       <i>mutually comparable</i> using the specified comparator,
     *	       or the search key is not comparable to the
     *	       elements of the array using this comparator.
     */
    public static <T>int binarySearch(T[] a, T key, Comparator< ? super T> c)
    {
        return binarySearch0(a, 0, a.length, key, c);
    }

    /**
     * Searches a range of
     * the specified array for the specified object using the binary
     * search algorithm.
     * The range must be sorted into ascending order
     * according to the specified comparator (as by the
     * {@link #sort(Object[], int, int, Comparator)
     * sort(T[], int, int, Comparator)}
     * method) prior to making this call.
     * If it is not sorted, the results are undefined.
     * If the range contains multiple elements equal to the specified object,
     * there is no guarantee which one will be found.
     *
     * @param a the array to be searched
     * @param fromIndex the index of the first element (inclusive) to be
     *		searched
     * @param toIndex the index of the last element (exclusive) to be searched
     * @param key the value to be searched for
     * @param c the comparator by which the array is ordered.  A
     *        <tt>null</tt> value indicates that the elements'
     *        {@linkplain Comparable natural ordering} should be used.
     * @return index of the search key, if it is contained in the array
     *	       within the specified range;
     *	       otherwise, <tt>(-(<i>insertion point</i>) - 1)</tt>.  The
     *	       <i>insertion point</i> is defined as the point at which the
     *	       key would be inserted into the array: the index of the first
     *	       element in the range greater than the key,
     *	       or <tt>toIndex</tt> if all
     *	       elements in the range are less than the specified key.  Note
     *	       that this guarantees that the return value will be &gt;= 0 if
     *	       and only if the key is found.
     * @throws ClassCastException if the range contains elements that are not
     *	       <i>mutually comparable</i> using the specified comparator,
     *	       or the search key is not comparable to the
     *	       elements in the range using this comparator.
     * @throws IllegalArgumentException
     *	       if {@code fromIndex > toIndex}
     * @throws ArrayIndexOutOfBoundsException
     *	       if {@code fromIndex < 0 or toIndex > a.length}
     * @since 1.6
     */
    public static <T>int binarySearch(T[] a, int fromIndex, int toIndex, T key,
        Comparator< ? super T> c)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        return binarySearch0(a, fromIndex, toIndex, key, c);
    }

    // Like public version, but without range checks.
    private static <T>int binarySearch0(T[] a, int fromIndex, int toIndex, T key,
        Comparator< ? super T> c)
    {
        if (c == null)
        {
            return binarySearch0(a, fromIndex, toIndex, key);
        }
        int low = fromIndex;
        int high = toIndex - 1;

        while (low <= high)
        {
            int mid = (low + high) >>> 1;
            T midVal = a[mid];
            int cmp = c.compare(midVal, key);

            if (cmp < 0)
                low = mid + 1;
            else if (cmp > 0)
                high = mid - 1;
            else
                return mid; // key found
        }
        return -(low + 1); // key not found.
    }

    // Equality Testing

    /**
     * Returns <tt>true</tt> if the two specified arrays of longs are
     * <i>equal</i> to one another.  Two arrays are considered equal if both
     * arrays contain the same number of elements, and all corresponding pairs
     * of elements in the two arrays are equal.  In other words, two arrays
     * are equal if they contain the same elements in the same order.  Also,
     * two array references are considered equal if both are <tt>null</tt>.<p>
     *
     * @param a one array to be tested for equality
     * @param a2 the other array to be tested for equality
     * @return <tt>true</tt> if the two arrays are equal
     */
    public static boolean equals(long[] a, long[] a2)
    {
        if (a == a2)
            return true;
        if (a == null || a2 == null)
            return false;

        int length = a.length;
        if (a2.length != length)
            return false;

        for (int i = 0; i < length; i++)
            if (a[i] != a2[i])
                return false;

        return true;
    }

    /**
     * Returns <tt>true</tt> if the two specified arrays of ints are
     * <i>equal</i> to one another.  Two arrays are considered equal if both
     * arrays contain the same number of elements, and all corresponding pairs
     * of elements in the two arrays are equal.  In other words, two arrays
     * are equal if they contain the same elements in the same order.  Also,
     * two array references are considered equal if both are <tt>null</tt>.<p>
     *
     * @param a one array to be tested for equality
     * @param a2 the other array to be tested for equality
     * @return <tt>true</tt> if the two arrays are equal
     */
    public static boolean equals(int[] a, int[] a2)
    {
        if (a == a2)
            return true;
        if (a == null || a2 == null)
            return false;

        int length = a.length;
        if (a2.length != length)
            return false;

        for (int i = 0; i < length; i++)
            if (a[i] != a2[i])
                return false;

        return true;
    }

    /**
     * Returns <tt>true</tt> if the two specified arrays of shorts are
     * <i>equal</i> to one another.  Two arrays are considered equal if both
     * arrays contain the same number of elements, and all corresponding pairs
     * of elements in the two arrays are equal.  In other words, two arrays
     * are equal if they contain the same elements in the same order.  Also,
     * two array references are considered equal if both are <tt>null</tt>.<p>
     *
     * @param a one array to be tested for equality
     * @param a2 the other array to be tested for equality
     * @return <tt>true</tt> if the two arrays are equal
     */
    public static boolean equals(short[] a, short a2[])
    {
        if (a == a2)
            return true;
        if (a == null || a2 == null)
            return false;

        int length = a.length;
        if (a2.length != length)
            return false;

        for (int i = 0; i < length; i++)
            if (a[i] != a2[i])
                return false;

        return true;
    }

    /**
     * Returns <tt>true</tt> if the two specified arrays of chars are
     * <i>equal</i> to one another.  Two arrays are considered equal if both
     * arrays contain the same number of elements, and all corresponding pairs
     * of elements in the two arrays are equal.  In other words, two arrays
     * are equal if they contain the same elements in the same order.  Also,
     * two array references are considered equal if both are <tt>null</tt>.<p>
     *
     * @param a one array to be tested for equality
     * @param a2 the other array to be tested for equality
     * @return <tt>true</tt> if the two arrays are equal
     */
    public static boolean equals(char[] a, char[] a2)
    {
        if (a == a2)
            return true;
        if (a == null || a2 == null)
            return false;

        int length = a.length;
        if (a2.length != length)
            return false;

        for (int i = 0; i < length; i++)
            if (a[i] != a2[i])
                return false;

        return true;
    }

    /**
     * Returns <tt>true</tt> if the two specified arrays of bytes are
     * <i>equal</i> to one another.  Two arrays are considered equal if both
     * arrays contain the same number of elements, and all corresponding pairs
     * of elements in the two arrays are equal.  In other words, two arrays
     * are equal if they contain the same elements in the same order.  Also,
     * two array references are considered equal if both are <tt>null</tt>.<p>
     *
     * @param a one array to be tested for equality
     * @param a2 the other array to be tested for equality
     * @return <tt>true</tt> if the two arrays are equal
     */
    public static boolean equals(byte[] a, byte[] a2)
    {
        if (a == a2)
            return true;
        if (a == null || a2 == null)
            return false;

        int length = a.length;
        if (a2.length != length)
            return false;

        for (int i = 0; i < length; i++)
            if (a[i] != a2[i])
                return false;

        return true;
    }

    /**
     * Returns <tt>true</tt> if the two specified arrays of booleans are
     * <i>equal</i> to one another.  Two arrays are considered equal if both
     * arrays contain the same number of elements, and all corresponding pairs
     * of elements in the two arrays are equal.  In other words, two arrays
     * are equal if they contain the same elements in the same order.  Also,
     * two array references are considered equal if both are <tt>null</tt>.<p>
     *
     * @param a one array to be tested for equality
     * @param a2 the other array to be tested for equality
     * @return <tt>true</tt> if the two arrays are equal
     */
    public static boolean equals(boolean[] a, boolean[] a2)
    {
        if (a == a2)
            return true;
        if (a == null || a2 == null)
            return false;

        int length = a.length;
        if (a2.length != length)
            return false;

        for (int i = 0; i < length; i++)
            if (a[i] != a2[i])
                return false;

        return true;
    }

    /**
     * Returns <tt>true</tt> if the two specified arrays of doubles are
     * <i>equal</i> to one another.  Two arrays are considered equal if both
     * arrays contain the same number of elements, and all corresponding pairs
     * of elements in the two arrays are equal.  In other words, two arrays
     * are equal if they contain the same elements in the same order.  Also,
     * two array references are considered equal if both are <tt>null</tt>.<p>
     *
     * Two doubles <tt>d1</tt> and <tt>d2</tt> are considered equal if:
     * <pre>    <tt>new Double(d1).equals(new Double(d2))</tt></pre>
     * (Unlike the <tt>==</tt> operator, this method considers
     * <tt>NaN</tt> equals to itself, and 0.0d unequal to -0.0d.)
     *
     * @param a one array to be tested for equality
     * @param a2 the other array to be tested for equality
     * @return <tt>true</tt> if the two arrays are equal
     * @see Double#equals(Object)
     */
    public static boolean equals(double[] a, double[] a2)
    {
        if (a == a2)
            return true;
        if (a == null || a2 == null)
            return false;

        int length = a.length;
        if (a2.length != length)
            return false;

        for (int i = 0; i < length; i++)
            if (Double.doubleToLongBits(a[i]) != Double.doubleToLongBits(a2[i]))
                return false;

        return true;
    }

    /**
     * Returns <tt>true</tt> if the two specified arrays of floats are
     * <i>equal</i> to one another.  Two arrays are considered equal if both
     * arrays contain the same number of elements, and all corresponding pairs
     * of elements in the two arrays are equal.  In other words, two arrays
     * are equal if they contain the same elements in the same order.  Also,
     * two array references are considered equal if both are <tt>null</tt>.<p>
     *
     * Two floats <tt>f1</tt> and <tt>f2</tt> are considered equal if:
     * <pre>    <tt>new Float(f1).equals(new Float(f2))</tt></pre>
     * (Unlike the <tt>==</tt> operator, this method considers
     * <tt>NaN</tt> equals to itself, and 0.0f unequal to -0.0f.)
     *
     * @param a one array to be tested for equality
     * @param a2 the other array to be tested for equality
     * @return <tt>true</tt> if the two arrays are equal
     * @see Float#equals(Object)
     */
    public static boolean equals(float[] a, float[] a2)
    {
        if (a == a2)
            return true;
        if (a == null || a2 == null)
            return false;

        int length = a.length;
        if (a2.length != length)
            return false;

        for (int i = 0; i < length; i++)
            if (Float.floatToIntBits(a[i]) != Float.floatToIntBits(a2[i]))
                return false;

        return true;
    }

    /**
     * Returns <tt>true</tt> if the two specified arrays of Objects are
     * <i>equal</i> to one another.  The two arrays are considered equal if
     * both arrays contain the same number of elements, and all corresponding
     * pairs of elements in the two arrays are equal.  Two objects <tt>e1</tt>
     * and <tt>e2</tt> are considered <i>equal</i> if <tt>(e1==null ? e2==null
     * : e1.equals(e2))</tt>.  In other words, the two arrays are equal if
     * they contain the same elements in the same order.  Also, two array
     * references are considered equal if both are <tt>null</tt>.<p>
     *
     * @param a one array to be tested for equality
     * @param a2 the other array to be tested for equality
     * @return <tt>true</tt> if the two arrays are equal
     */
    public static boolean equals(Object[] a, Object[] a2)
    {
        if (a == a2)
            return true;
        if (a == null || a2 == null)
            return false;

        int length = a.length;
        if (a2.length != length)
            return false;

        for (int i = 0; i < length; i++)
        {
            Object o1 = a[i];
            Object o2 = a2[i];
            if (!(o1 == null ? o2 == null : o1.equals(o2)))
                return false;
        }

        return true;
    }

    // Filling

    /**
     * Assigns the specified long value to each element of the specified array
     * of longs.
     *
     * @param a the array to be filled
     * @param val the value to be stored in all elements of the array
     */
    public static void fill(long[] a, long val)
    {
        fill(a, 0, a.length, val);
    }

    /**
     * Assigns the specified long value to each element of the specified
     * range of the specified array of longs.  The range to be filled
     * extends from index <tt>fromIndex</tt>, inclusive, to index
     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
     * range to be filled is empty.)
     *
     * @param a the array to be filled
     * @param fromIndex the index of the first element (inclusive) to be
     *        filled with the specified value
     * @param toIndex the index of the last element (exclusive) to be
     *        filled with the specified value
     * @param val the value to be stored in all elements of the array
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     */
    public static void fill(long[] a, int fromIndex, int toIndex, long val)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        for (int i = fromIndex; i < toIndex; i++)
            a[i] = val;
    }

    /**
     * Assigns the specified int value to each element of the specified array
     * of ints.
     *
     * @param a the array to be filled
     * @param val the value to be stored in all elements of the array
     */
    public static void fill(int[] a, int val)
    {
        fill(a, 0, a.length, val);
    }

    /**
     * Assigns the specified int value to each element of the specified
     * range of the specified array of ints.  The range to be filled
     * extends from index <tt>fromIndex</tt>, inclusive, to index
     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
     * range to be filled is empty.)
     *
     * @param a the array to be filled
     * @param fromIndex the index of the first element (inclusive) to be
     *        filled with the specified value
     * @param toIndex the index of the last element (exclusive) to be
     *        filled with the specified value
     * @param val the value to be stored in all elements of the array
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     */
    public static void fill(int[] a, int fromIndex, int toIndex, int val)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        for (int i = fromIndex; i < toIndex; i++)
            a[i] = val;
    }

    /**
     * Assigns the specified short value to each element of the specified array
     * of shorts.
     *
     * @param a the array to be filled
     * @param val the value to be stored in all elements of the array
     */
    public static void fill(short[] a, short val)
    {
        fill(a, 0, a.length, val);
    }

    /**
     * Assigns the specified short value to each element of the specified
     * range of the specified array of shorts.  The range to be filled
     * extends from index <tt>fromIndex</tt>, inclusive, to index
     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
     * range to be filled is empty.)
     *
     * @param a the array to be filled
     * @param fromIndex the index of the first element (inclusive) to be
     *        filled with the specified value
     * @param toIndex the index of the last element (exclusive) to be
     *        filled with the specified value
     * @param val the value to be stored in all elements of the array
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     */
    public static void fill(short[] a, int fromIndex, int toIndex, short val)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        for (int i = fromIndex; i < toIndex; i++)
            a[i] = val;
    }

    /**
     * Assigns the specified char value to each element of the specified array
     * of chars.
     *
     * @param a the array to be filled
     * @param val the value to be stored in all elements of the array
     */
    public static void fill(char[] a, char val)
    {
        fill(a, 0, a.length, val);
    }

    /**
     * Assigns the specified char value to each element of the specified
     * range of the specified array of chars.  The range to be filled
     * extends from index <tt>fromIndex</tt>, inclusive, to index
     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
     * range to be filled is empty.)
     *
     * @param a the array to be filled
     * @param fromIndex the index of the first element (inclusive) to be
     *        filled with the specified value
     * @param toIndex the index of the last element (exclusive) to be
     *        filled with the specified value
     * @param val the value to be stored in all elements of the array
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     */
    public static void fill(char[] a, int fromIndex, int toIndex, char val)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        for (int i = fromIndex; i < toIndex; i++)
            a[i] = val;
    }

    /**
     * Assigns the specified byte value to each element of the specified array
     * of bytes.
     *
     * @param a the array to be filled
     * @param val the value to be stored in all elements of the array
     */
    public static void fill(byte[] a, byte val)
    {
        fill(a, 0, a.length, val);
    }

    /**
     * Assigns the specified byte value to each element of the specified
     * range of the specified array of bytes.  The range to be filled
     * extends from index <tt>fromIndex</tt>, inclusive, to index
     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
     * range to be filled is empty.)
     *
     * @param a the array to be filled
     * @param fromIndex the index of the first element (inclusive) to be
     *        filled with the specified value
     * @param toIndex the index of the last element (exclusive) to be
     *        filled with the specified value
     * @param val the value to be stored in all elements of the array
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     */
    public static void fill(byte[] a, int fromIndex, int toIndex, byte val)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        for (int i = fromIndex; i < toIndex; i++)
            a[i] = val;
    }

    /**
     * Assigns the specified boolean value to each element of the specified
     * array of booleans.
     *
     * @param a the array to be filled
     * @param val the value to be stored in all elements of the array
     */
    public static void fill(boolean[] a, boolean val)
    {
        fill(a, 0, a.length, val);
    }

    /**
     * Assigns the specified boolean value to each element of the specified
     * range of the specified array of booleans.  The range to be filled
     * extends from index <tt>fromIndex</tt>, inclusive, to index
     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
     * range to be filled is empty.)
     *
     * @param a the array to be filled
     * @param fromIndex the index of the first element (inclusive) to be
     *        filled with the specified value
     * @param toIndex the index of the last element (exclusive) to be
     *        filled with the specified value
     * @param val the value to be stored in all elements of the array
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     */
    public static void fill(boolean[] a, int fromIndex, int toIndex, boolean val)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        for (int i = fromIndex; i < toIndex; i++)
            a[i] = val;
    }

    /**
     * Assigns the specified double value to each element of the specified
     * array of doubles.
     *
     * @param a the array to be filled
     * @param val the value to be stored in all elements of the array
     */
    public static void fill(double[] a, double val)
    {
        fill(a, 0, a.length, val);
    }

    /**
     * Assigns the specified double value to each element of the specified
     * range of the specified array of doubles.  The range to be filled
     * extends from index <tt>fromIndex</tt>, inclusive, to index
     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
     * range to be filled is empty.)
     *
     * @param a the array to be filled
     * @param fromIndex the index of the first element (inclusive) to be
     *        filled with the specified value
     * @param toIndex the index of the last element (exclusive) to be
     *        filled with the specified value
     * @param val the value to be stored in all elements of the array
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     */
    public static void fill(double[] a, int fromIndex, int toIndex, double val)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        for (int i = fromIndex; i < toIndex; i++)
            a[i] = val;
    }

    /**
     * Assigns the specified float value to each element of the specified array
     * of floats.
     *
     * @param a the array to be filled
     * @param val the value to be stored in all elements of the array
     */
    public static void fill(float[] a, float val)
    {
        fill(a, 0, a.length, val);
    }

    /**
     * Assigns the specified float value to each element of the specified
     * range of the specified array of floats.  The range to be filled
     * extends from index <tt>fromIndex</tt>, inclusive, to index
     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
     * range to be filled is empty.)
     *
     * @param a the array to be filled
     * @param fromIndex the index of the first element (inclusive) to be
     *        filled with the specified value
     * @param toIndex the index of the last element (exclusive) to be
     *        filled with the specified value
     * @param val the value to be stored in all elements of the array
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     */
    public static void fill(float[] a, int fromIndex, int toIndex, float val)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        for (int i = fromIndex; i < toIndex; i++)
            a[i] = val;
    }

    /**
     * Assigns the specified Object reference to each element of the specified
     * array of Objects.
     *
     * @param a the array to be filled
     * @param val the value to be stored in all elements of the array
     * @throws ArrayStoreException if the specified value is not of a
     *         runtime type that can be stored in the specified array
     */
    public static void fill(Object[] a, Object val)
    {
        fill(a, 0, a.length, val);
    }

    /**
     * Assigns the specified Object reference to each element of the specified
     * range of the specified array of Objects.  The range to be filled
     * extends from index <tt>fromIndex</tt>, inclusive, to index
     * <tt>toIndex</tt>, exclusive.  (If <tt>fromIndex==toIndex</tt>, the
     * range to be filled is empty.)
     *
     * @param a the array to be filled
     * @param fromIndex the index of the first element (inclusive) to be
     *        filled with the specified value
     * @param toIndex the index of the last element (exclusive) to be
     *        filled with the specified value
     * @param val the value to be stored in all elements of the array
     * @throws IllegalArgumentException if <tt>fromIndex &gt; toIndex</tt>
     * @throws ArrayIndexOutOfBoundsException if <tt>fromIndex &lt; 0</tt> or
     *	       <tt>toIndex &gt; a.length</tt>
     * @throws ArrayStoreException if the specified value is not of a
     *         runtime type that can be stored in the specified array
     */
    public static void fill(Object[] a, int fromIndex, int toIndex, Object val)
    {
        rangeCheck(a.length, fromIndex, toIndex);
        for (int i = fromIndex; i < toIndex; i++)
            a[i] = val;
    }

    // Cloning
    /**
     * Copies the specified array, truncating or padding with nulls (if necessary)
     * so the copy has the specified length.  For all indices that are
     * valid in both the original array and the copy, the two arrays will
     * contain identical values.  For any indices that are valid in the
     * copy but not the original, the copy will contain <tt>null</tt>.
     * Such indices will exist if and only if the specified length
     * is greater than that of the original array.
     * The resulting array is of exactly the same class as the original array.
     *
     * @param original the array to be copied
     * @param newLength the length of the copy to be returned
     * @return a copy of the original array, truncated or padded with nulls
     *     to obtain the specified length
     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static <T>T[] copyOf(T[] original, int newLength)
    {
        return (T[])copyOf(original, newLength, original.getClass());
    }

    /**
     * Copies the specified array, truncating or padding with nulls (if necessary)
     * so the copy has the specified length.  For all indices that are
     * valid in both the original array and the copy, the two arrays will
     * contain identical values.  For any indices that are valid in the
     * copy but not the original, the copy will contain <tt>null</tt>.
     * Such indices will exist if and only if the specified length
     * is greater than that of the original array.
     * The resulting array is of the class <tt>newType</tt>.
     *
     * @param original the array to be copied
     * @param newLength the length of the copy to be returned
     * @param newType the class of the copy to be returned
     * @return a copy of the original array, truncated or padded with nulls
     *     to obtain the specified length
     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
     * @throws NullPointerException if <tt>original</tt> is null
     * @throws ArrayStoreException if an element copied from
     *     <tt>original</tt> is not of a runtime type that can be stored in
     *     an array of class <tt>newType</tt>
     * @since 1.6
     */
    public static <T, U>T[] copyOf(U[] original, int newLength, Class< ? extends T[]> newType)
    {
        T[] copy = ((Object)newType == (Object)Object[].class) ? (T[])new Object[newLength]
            : (T[])Array.newInstance(newType.getComponentType(), newLength);
        System.arraycopy(original, 0, copy, 0, Math.min(original.length, newLength));
        return copy;
    }

    /**
     * Copies the specified array, truncating or padding with zeros (if necessary)
     * so the copy has the specified length.  For all indices that are
     * valid in both the original array and the copy, the two arrays will
     * contain identical values.  For any indices that are valid in the
     * copy but not the original, the copy will contain <tt>(byte)0</tt>.
     * Such indices will exist if and only if the specified length
     * is greater than that of the original array.
     *
     * @param original the array to be copied
     * @param newLength the length of the copy to be returned
     * @return a copy of the original array, truncated or padded with zeros
     *     to obtain the specified length
     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static byte[] copyOf(byte[] original, int newLength)
    {
        byte[] copy = new byte[newLength];
        System.arraycopy(original, 0, copy, 0, Math.min(original.length, newLength));
        return copy;
    }

    /**
     * Copies the specified array, truncating or padding with zeros (if necessary)
     * so the copy has the specified length.  For all indices that are
     * valid in both the original array and the copy, the two arrays will
     * contain identical values.  For any indices that are valid in the
     * copy but not the original, the copy will contain <tt>(short)0</tt>.
     * Such indices will exist if and only if the specified length
     * is greater than that of the original array.
     *
     * @param original the array to be copied
     * @param newLength the length of the copy to be returned
     * @return a copy of the original array, truncated or padded with zeros
     *     to obtain the specified length
     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static short[] copyOf(short[] original, int newLength)
    {
        short[] copy = new short[newLength];
        System.arraycopy(original, 0, copy, 0, Math.min(original.length, newLength));
        return copy;
    }

    /**
     * Copies the specified array, truncating or padding with zeros (if necessary)
     * so the copy has the specified length.  For all indices that are
     * valid in both the original array and the copy, the two arrays will
     * contain identical values.  For any indices that are valid in the
     * copy but not the original, the copy will contain <tt>0</tt>.
     * Such indices will exist if and only if the specified length
     * is greater than that of the original array.
     *
     * @param original the array to be copied
     * @param newLength the length of the copy to be returned
     * @return a copy of the original array, truncated or padded with zeros
     *     to obtain the specified length
     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static int[] copyOf(int[] original, int newLength)
    {
        int[] copy = new int[newLength];
        System.arraycopy(original, 0, copy, 0, Math.min(original.length, newLength));
        return copy;
    }

    /**
     * Copies the specified array, truncating or padding with zeros (if necessary)
     * so the copy has the specified length.  For all indices that are
     * valid in both the original array and the copy, the two arrays will
     * contain identical values.  For any indices that are valid in the
     * copy but not the original, the copy will contain <tt>0L</tt>.
     * Such indices will exist if and only if the specified length
     * is greater than that of the original array.
     *
     * @param original the array to be copied
     * @param newLength the length of the copy to be returned
     * @return a copy of the original array, truncated or padded with zeros
     *     to obtain the specified length
     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static long[] copyOf(long[] original, int newLength)
    {
        long[] copy = new long[newLength];
        System.arraycopy(original, 0, copy, 0, Math.min(original.length, newLength));
        return copy;
    }

    /**
     * Copies the specified array, truncating or padding with null characters (if necessary)
     * so the copy has the specified length.  For all indices that are valid
     * in both the original array and the copy, the two arrays will contain
     * identical values.  For any indices that are valid in the copy but not
     * the original, the copy will contain <tt>'\\u000'</tt>.  Such indices
     * will exist if and only if the specified length is greater than that of
     * the original array.
     *
     * @param original the array to be copied
     * @param newLength the length of the copy to be returned
     * @return a copy of the original array, truncated or padded with null characters
     *     to obtain the specified length
     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static char[] copyOf(char[] original, int newLength)
    {
        char[] copy = new char[newLength];
        System.arraycopy(original, 0, copy, 0, Math.min(original.length, newLength));
        return copy;
    }

    /**
     * Copies the specified array, truncating or padding with zeros (if necessary)
     * so the copy has the specified length.  For all indices that are
     * valid in both the original array and the copy, the two arrays will
     * contain identical values.  For any indices that are valid in the
     * copy but not the original, the copy will contain <tt>0f</tt>.
     * Such indices will exist if and only if the specified length
     * is greater than that of the original array.
     *
     * @param original the array to be copied
     * @param newLength the length of the copy to be returned
     * @return a copy of the original array, truncated or padded with zeros
     *     to obtain the specified length
     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static float[] copyOf(float[] original, int newLength)
    {
        float[] copy = new float[newLength];
        System.arraycopy(original, 0, copy, 0, Math.min(original.length, newLength));
        return copy;
    }

    /**
     * Copies the specified array, truncating or padding with zeros (if necessary)
     * so the copy has the specified length.  For all indices that are
     * valid in both the original array and the copy, the two arrays will
     * contain identical values.  For any indices that are valid in the
     * copy but not the original, the copy will contain <tt>0d</tt>.
     * Such indices will exist if and only if the specified length
     * is greater than that of the original array.
     *
     * @param original the array to be copied
     * @param newLength the length of the copy to be returned
     * @return a copy of the original array, truncated or padded with zeros
     *     to obtain the specified length
     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static double[] copyOf(double[] original, int newLength)
    {
        double[] copy = new double[newLength];
        System.arraycopy(original, 0, copy, 0, Math.min(original.length, newLength));
        return copy;
    }

    /**
     * Copies the specified array, truncating or padding with <tt>false</tt> (if necessary)
     * so the copy has the specified length.  For all indices that are
     * valid in both the original array and the copy, the two arrays will
     * contain identical values.  For any indices that are valid in the
     * copy but not the original, the copy will contain <tt>false</tt>.
     * Such indices will exist if and only if the specified length
     * is greater than that of the original array.
     *
     * @param original the array to be copied
     * @param newLength the length of the copy to be returned
     * @return a copy of the original array, truncated or padded with false elements
     *     to obtain the specified length
     * @throws NegativeArraySizeException if <tt>newLength</tt> is negative
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static boolean[] copyOf(boolean[] original, int newLength)
    {
        boolean[] copy = new boolean[newLength];
        System.arraycopy(original, 0, copy, 0, Math.min(original.length, newLength));
        return copy;
    }

    /**
     * Copies the specified range of the specified array into a new array.
     * The initial index of the range (<tt>from</tt>) must lie between zero
     * and <tt>original.length</tt>, inclusive.  The value at
     * <tt>original[from]</tt> is placed into the initial element of the copy
     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
     * Values from subsequent elements in the original array are placed into
     * subsequent elements in the copy.  The final index of the range
     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
     * may be greater than <tt>original.length</tt>, in which case
     * <tt>null</tt> is placed in all elements of the copy whose index is
     * greater than or equal to <tt>original.length - from</tt>.  The length
     * of the returned array will be <tt>to - from</tt>.
     * <p>
     * The resulting array is of exactly the same class as the original array.
     *
     * @param original the array from which a range is to be copied
     * @param from the initial index of the range to be copied, inclusive
     * @param to the final index of the range to be copied, exclusive.
     *     (This index may lie outside the array.)
     * @return a new array containing the specified range from the original array,
     *     truncated or padded with nulls to obtain the required length
     * @throws ArrayIndexOutOfBoundsException if <tt>from &lt; 0</tt>
     *     or <tt>from &gt; original.length()</tt>
     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static <T>T[] copyOfRange(T[] original, int from, int to)
    {
        return copyOfRange(original, from, to, (Class<T[]>)original.getClass());
    }

    /**
     * Copies the specified range of the specified array into a new array.
     * The initial index of the range (<tt>from</tt>) must lie between zero
     * and <tt>original.length</tt>, inclusive.  The value at
     * <tt>original[from]</tt> is placed into the initial element of the copy
     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
     * Values from subsequent elements in the original array are placed into
     * subsequent elements in the copy.  The final index of the range
     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
     * may be greater than <tt>original.length</tt>, in which case
     * <tt>null</tt> is placed in all elements of the copy whose index is
     * greater than or equal to <tt>original.length - from</tt>.  The length
     * of the returned array will be <tt>to - from</tt>.
     * The resulting array is of the class <tt>newType</tt>.
     *
     * @param original the array from which a range is to be copied
     * @param from the initial index of the range to be copied, inclusive
     * @param to the final index of the range to be copied, exclusive.
     *     (This index may lie outside the array.)
     * @param newType the class of the copy to be returned
     * @return a new array containing the specified range from the original array,
     *     truncated or padded with nulls to obtain the required length
     * @throws ArrayIndexOutOfBoundsException if <tt>from &lt; 0</tt>
     *     or <tt>from &gt; original.length()</tt>
     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
     * @throws NullPointerException if <tt>original</tt> is null
     * @throws ArrayStoreException if an element copied from
     *     <tt>original</tt> is not of a runtime type that can be stored in
     *     an array of class <tt>newType</tt>.
     * @since 1.6
     */
    public static <T, U>T[] copyOfRange(U[] original, int from, int to,
        Class< ? extends T[]> newType)
    {
        int newLength = to - from;
        if (newLength < 0)
            throw new IllegalArgumentException(from + " > " + to);
        T[] copy = ((Object)newType == (Object)Object[].class) ? (T[])new Object[newLength]
            : (T[])Array.newInstance(newType.getComponentType(), newLength);
        System.arraycopy(original, from, copy, 0, Math.min(original.length - from, newLength));
        return copy;
    }

    /**
     * Copies the specified range of the specified array into a new array.
     * The initial index of the range (<tt>from</tt>) must lie between zero
     * and <tt>original.length</tt>, inclusive.  The value at
     * <tt>original[from]</tt> is placed into the initial element of the copy
     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
     * Values from subsequent elements in the original array are placed into
     * subsequent elements in the copy.  The final index of the range
     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
     * may be greater than <tt>original.length</tt>, in which case
     * <tt>(byte)0</tt> is placed in all elements of the copy whose index is
     * greater than or equal to <tt>original.length - from</tt>.  The length
     * of the returned array will be <tt>to - from</tt>.
     *
     * @param original the array from which a range is to be copied
     * @param from the initial index of the range to be copied, inclusive
     * @param to the final index of the range to be copied, exclusive.
     *     (This index may lie outside the array.)
     * @return a new array containing the specified range from the original array,
     *     truncated or padded with zeros to obtain the required length
     * @throws ArrayIndexOutOfBoundsException if <tt>from &lt; 0</tt>
     *     or <tt>from &gt; original.length()</tt>
     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static byte[] copyOfRange(byte[] original, int from, int to)
    {
        int newLength = to - from;
        if (newLength < 0)
            throw new IllegalArgumentException(from + " > " + to);
        byte[] copy = new byte[newLength];
        System.arraycopy(original, from, copy, 0, Math.min(original.length - from, newLength));
        return copy;
    }

    /**
     * Copies the specified range of the specified array into a new array.
     * The initial index of the range (<tt>from</tt>) must lie between zero
     * and <tt>original.length</tt>, inclusive.  The value at
     * <tt>original[from]</tt> is placed into the initial element of the copy
     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
     * Values from subsequent elements in the original array are placed into
     * subsequent elements in the copy.  The final index of the range
     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
     * may be greater than <tt>original.length</tt>, in which case
     * <tt>(short)0</tt> is placed in all elements of the copy whose index is
     * greater than or equal to <tt>original.length - from</tt>.  The length
     * of the returned array will be <tt>to - from</tt>.
     *
     * @param original the array from which a range is to be copied
     * @param from the initial index of the range to be copied, inclusive
     * @param to the final index of the range to be copied, exclusive.
     *     (This index may lie outside the array.)
     * @return a new array containing the specified range from the original array,
     *     truncated or padded with zeros to obtain the required length
     * @throws ArrayIndexOutOfBoundsException if <tt>from &lt; 0</tt>
     *     or <tt>from &gt; original.length()</tt>
     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static short[] copyOfRange(short[] original, int from, int to)
    {
        int newLength = to - from;
        if (newLength < 0)
            throw new IllegalArgumentException(from + " > " + to);
        short[] copy = new short[newLength];
        System.arraycopy(original, from, copy, 0, Math.min(original.length - from, newLength));
        return copy;
    }

    /**
     * Copies the specified range of the specified array into a new array.
     * The initial index of the range (<tt>from</tt>) must lie between zero
     * and <tt>original.length</tt>, inclusive.  The value at
     * <tt>original[from]</tt> is placed into the initial element of the copy
     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
     * Values from subsequent elements in the original array are placed into
     * subsequent elements in the copy.  The final index of the range
     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
     * may be greater than <tt>original.length</tt>, in which case
     * <tt>0</tt> is placed in all elements of the copy whose index is
     * greater than or equal to <tt>original.length - from</tt>.  The length
     * of the returned array will be <tt>to - from</tt>.
     *
     * @param original the array from which a range is to be copied
     * @param from the initial index of the range to be copied, inclusive
     * @param to the final index of the range to be copied, exclusive.
     *     (This index may lie outside the array.)
     * @return a new array containing the specified range from the original array,
     *     truncated or padded with zeros to obtain the required length
     * @throws ArrayIndexOutOfBoundsException if <tt>from &lt; 0</tt>
     *     or <tt>from &gt; original.length()</tt>
     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static int[] copyOfRange(int[] original, int from, int to)
    {
        int newLength = to - from;
        if (newLength < 0)
            throw new IllegalArgumentException(from + " > " + to);
        int[] copy = new int[newLength];
        System.arraycopy(original, from, copy, 0, Math.min(original.length - from, newLength));
        return copy;
    }

    /**
     * Copies the specified range of the specified array into a new array.
     * The initial index of the range (<tt>from</tt>) must lie between zero
     * and <tt>original.length</tt>, inclusive.  The value at
     * <tt>original[from]</tt> is placed into the initial element of the copy
     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
     * Values from subsequent elements in the original array are placed into
     * subsequent elements in the copy.  The final index of the range
     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
     * may be greater than <tt>original.length</tt>, in which case
     * <tt>0L</tt> is placed in all elements of the copy whose index is
     * greater than or equal to <tt>original.length - from</tt>.  The length
     * of the returned array will be <tt>to - from</tt>.
     *
     * @param original the array from which a range is to be copied
     * @param from the initial index of the range to be copied, inclusive
     * @param to the final index of the range to be copied, exclusive.
     *     (This index may lie outside the array.)
     * @return a new array containing the specified range from the original array,
     *     truncated or padded with zeros to obtain the required length
     * @throws ArrayIndexOutOfBoundsException if <tt>from &lt; 0</tt>
     *     or <tt>from &gt; original.length()</tt>
     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static long[] copyOfRange(long[] original, int from, int to)
    {
        int newLength = to - from;
        if (newLength < 0)
            throw new IllegalArgumentException(from + " > " + to);
        long[] copy = new long[newLength];
        System.arraycopy(original, from, copy, 0, Math.min(original.length - from, newLength));
        return copy;
    }

    /**
     * Copies the specified range of the specified array into a new array.
     * The initial index of the range (<tt>from</tt>) must lie between zero
     * and <tt>original.length</tt>, inclusive.  The value at
     * <tt>original[from]</tt> is placed into the initial element of the copy
     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
     * Values from subsequent elements in the original array are placed into
     * subsequent elements in the copy.  The final index of the range
     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
     * may be greater than <tt>original.length</tt>, in which case
     * <tt>'\\u000'</tt> is placed in all elements of the copy whose index is
     * greater than or equal to <tt>original.length - from</tt>.  The length
     * of the returned array will be <tt>to - from</tt>.
     *
     * @param original the array from which a range is to be copied
     * @param from the initial index of the range to be copied, inclusive
     * @param to the final index of the range to be copied, exclusive.
     *     (This index may lie outside the array.)
     * @return a new array containing the specified range from the original array,
     *     truncated or padded with null characters to obtain the required length
     * @throws ArrayIndexOutOfBoundsException if <tt>from &lt; 0</tt>
     *     or <tt>from &gt; original.length()</tt>
     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static char[] copyOfRange(char[] original, int from, int to)
    {
        int newLength = to - from;
        if (newLength < 0)
            throw new IllegalArgumentException(from + " > " + to);
        char[] copy = new char[newLength];
        System.arraycopy(original, from, copy, 0, Math.min(original.length - from, newLength));
        return copy;
    }

    /**
     * Copies the specified range of the specified array into a new array.
     * The initial index of the range (<tt>from</tt>) must lie between zero
     * and <tt>original.length</tt>, inclusive.  The value at
     * <tt>original[from]</tt> is placed into the initial element of the copy
     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
     * Values from subsequent elements in the original array are placed into
     * subsequent elements in the copy.  The final index of the range
     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
     * may be greater than <tt>original.length</tt>, in which case
     * <tt>0f</tt> is placed in all elements of the copy whose index is
     * greater than or equal to <tt>original.length - from</tt>.  The length
     * of the returned array will be <tt>to - from</tt>.
     *
     * @param original the array from which a range is to be copied
     * @param from the initial index of the range to be copied, inclusive
     * @param to the final index of the range to be copied, exclusive.
     *     (This index may lie outside the array.)
     * @return a new array containing the specified range from the original array,
     *     truncated or padded with zeros to obtain the required length
     * @throws ArrayIndexOutOfBoundsException if <tt>from &lt; 0</tt>
     *     or <tt>from &gt; original.length()</tt>
     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static float[] copyOfRange(float[] original, int from, int to)
    {
        int newLength = to - from;
        if (newLength < 0)
            throw new IllegalArgumentException(from + " > " + to);
        float[] copy = new float[newLength];
        System.arraycopy(original, from, copy, 0, Math.min(original.length - from, newLength));
        return copy;
    }

    /**
     * Copies the specified range of the specified array into a new array.
     * The initial index of the range (<tt>from</tt>) must lie between zero
     * and <tt>original.length</tt>, inclusive.  The value at
     * <tt>original[from]</tt> is placed into the initial element of the copy
     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
     * Values from subsequent elements in the original array are placed into
     * subsequent elements in the copy.  The final index of the range
     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
     * may be greater than <tt>original.length</tt>, in which case
     * <tt>0d</tt> is placed in all elements of the copy whose index is
     * greater than or equal to <tt>original.length - from</tt>.  The length
     * of the returned array will be <tt>to - from</tt>.
     *
     * @param original the array from which a range is to be copied
     * @param from the initial index of the range to be copied, inclusive
     * @param to the final index of the range to be copied, exclusive.
     *     (This index may lie outside the array.)
     * @return a new array containing the specified range from the original array,
     *     truncated or padded with zeros to obtain the required length
     * @throws ArrayIndexOutOfBoundsException if <tt>from &lt; 0</tt>
     *     or <tt>from &gt; original.length()</tt>
     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static double[] copyOfRange(double[] original, int from, int to)
    {
        int newLength = to - from;
        if (newLength < 0)
            throw new IllegalArgumentException(from + " > " + to);
        double[] copy = new double[newLength];
        System.arraycopy(original, from, copy, 0, Math.min(original.length - from, newLength));
        return copy;
    }

    /**
     * Copies the specified range of the specified array into a new array.
     * The initial index of the range (<tt>from</tt>) must lie between zero
     * and <tt>original.length</tt>, inclusive.  The value at
     * <tt>original[from]</tt> is placed into the initial element of the copy
     * (unless <tt>from == original.length</tt> or <tt>from == to</tt>).
     * Values from subsequent elements in the original array are placed into
     * subsequent elements in the copy.  The final index of the range
     * (<tt>to</tt>), which must be greater than or equal to <tt>from</tt>,
     * may be greater than <tt>original.length</tt>, in which case
     * <tt>false</tt> is placed in all elements of the copy whose index is
     * greater than or equal to <tt>original.length - from</tt>.  The length
     * of the returned array will be <tt>to - from</tt>.
     *
     * @param original the array from which a range is to be copied
     * @param from the initial index of the range to be copied, inclusive
     * @param to the final index of the range to be copied, exclusive.
     *     (This index may lie outside the array.)
     * @return a new array containing the specified range from the original array,
     *     truncated or padded with false elements to obtain the required length
     * @throws ArrayIndexOutOfBoundsException if <tt>from &lt; 0</tt>
     *     or <tt>from &gt; original.length()</tt>
     * @throws IllegalArgumentException if <tt>from &gt; to</tt>
     * @throws NullPointerException if <tt>original</tt> is null
     * @since 1.6
     */
    public static boolean[] copyOfRange(boolean[] original, int from, int to)
    {
        int newLength = to - from;
        if (newLength < 0)
            throw new IllegalArgumentException(from + " > " + to);
        boolean[] copy = new boolean[newLength];
        System.arraycopy(original, from, copy, 0, Math.min(original.length - from, newLength));
        return copy;
    }

    // Misc

    /**
     * Returns a fixed-size list backed by the specified array.  (Changes to
     * the returned list "write through" to the array.)  This method acts
     * as bridge between array-based and collection-based APIs, in
     * combination with {@link Collection#toArray}.  The returned list is
     * serializable and implements {@link RandomAccess}.
     *
     * <p>This method also provides a convenient way to create a fixed-size
     * list initialized to contain several elements:
     * <pre>
     *     List&lt;String&gt; stooges = Arrays.asList("Larry", "Moe", "Curly");
     * </pre>
     *
     * @param a the array by which the list will be backed
     * @return a list view of the specified array
     */
    public static <T>List<T> asList(T...a)
    {
        return new ArrayList<T>(a);
    }

    /**
     * @serial include
     */
    private static class ArrayList<E> extends AbstractList<E> implements RandomAccess,
        java.io.Serializable
    {
        private static final long serialVersionUID = -2764017481108945198L;
        private final E[] a;

        ArrayList(E[] array)
        {
            if (array == null)
                throw new NullPointerException();
            a = array;
        }

        public int size()
        {
            return a.length;
        }

        public Object[] toArray()
        {
            return a.clone();
        }

        public <T>T[] toArray(T[] a)
        {
            int size = size();
            if (a.length < size)
                return Arrays.copyOf(this.a, size, (Class< ? extends T[]>)a.getClass());
            System.arraycopy(this.a, 0, a, 0, size);
            if (a.length > size)
                a[size] = null;
            return a;
        }

        public E get(int index)
        {
            return a[index];
        }

        public E set(int index, E element)
        {
            E oldValue = a[index];
            a[index] = element;
            return oldValue;
        }

        public int indexOf(Object o)
        {
            if (o == null)
            {
                for (int i = 0; i < a.length; i++)
                    if (a[i] == null)
                        return i;
            }
            else
            {
                for (int i = 0; i < a.length; i++)
                    if (o.equals(a[i]))
                        return i;
            }
            return -1;
        }

        public boolean contains(Object o)
        {
            return indexOf(o) != -1;
        }
    }

    /**
     * Returns a hash code based on the contents of the specified array.
     * For any two <tt>long</tt> arrays <tt>a</tt> and <tt>b</tt>
     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
     *
     * <p>The value returned by this method is the same value that would be
     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
     * method on a {@link List} containing a sequence of {@link Long}
     * instances representing the elements of <tt>a</tt> in the same order.
     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
     *
     * @param a the array whose hash value to compute
     * @return a content-based hash code for <tt>a</tt>
     * @since 1.5
     */
    public static int hashCode(long a[])
    {
        if (a == null)
            return 0;

        int result = 1;
        for (long element : a)
        {
            int elementHash = (int)(element ^ (element >>> 32));
            result = 31 * result + elementHash;
        }

        return result;
    }

    /**
     * Returns a hash code based on the contents of the specified array.
     * For any two non-null <tt>int</tt> arrays <tt>a</tt> and <tt>b</tt>
     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
     *
     * <p>The value returned by this method is the same value that would be
     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
     * method on a {@link List} containing a sequence of {@link Integer}
     * instances representing the elements of <tt>a</tt> in the same order.
     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
     *
     * @param a the array whose hash value to compute
     * @return a content-based hash code for <tt>a</tt>
     * @since 1.5
     */
    public static int hashCode(int a[])
    {
        if (a == null)
            return 0;

        int result = 1;
        for (int element : a)
            result = 31 * result + element;

        return result;
    }

    /**
     * Returns a hash code based on the contents of the specified array.
     * For any two <tt>short</tt> arrays <tt>a</tt> and <tt>b</tt>
     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
     *
     * <p>The value returned by this method is the same value that would be
     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
     * method on a {@link List} containing a sequence of {@link Short}
     * instances representing the elements of <tt>a</tt> in the same order.
     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
     *
     * @param a the array whose hash value to compute
     * @return a content-based hash code for <tt>a</tt>
     * @since 1.5
     */
    public static int hashCode(short a[])
    {
        if (a == null)
            return 0;

        int result = 1;
        for (short element : a)
            result = 31 * result + element;

        return result;
    }

    /**
     * Returns a hash code based on the contents of the specified array.
     * For any two <tt>char</tt> arrays <tt>a</tt> and <tt>b</tt>
     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
     *
     * <p>The value returned by this method is the same value that would be
     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
     * method on a {@link List} containing a sequence of {@link Character}
     * instances representing the elements of <tt>a</tt> in the same order.
     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
     *
     * @param a the array whose hash value to compute
     * @return a content-based hash code for <tt>a</tt>
     * @since 1.5
     */
    public static int hashCode(char a[])
    {
        if (a == null)
            return 0;

        int result = 1;
        for (char element : a)
            result = 31 * result + element;

        return result;
    }

    /**
     * Returns a hash code based on the contents of the specified array.
     * For any two <tt>byte</tt> arrays <tt>a</tt> and <tt>b</tt>
     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
     *
     * <p>The value returned by this method is the same value that would be
     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
     * method on a {@link List} containing a sequence of {@link Byte}
     * instances representing the elements of <tt>a</tt> in the same order.
     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
     *
     * @param a the array whose hash value to compute
     * @return a content-based hash code for <tt>a</tt>
     * @since 1.5
     */
    public static int hashCode(byte a[])
    {
        if (a == null)
            return 0;

        int result = 1;
        for (byte element : a)
            result = 31 * result + element;

        return result;
    }

    /**
     * Returns a hash code based on the contents of the specified array.
     * For any two <tt>boolean</tt> arrays <tt>a</tt> and <tt>b</tt>
     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
     *
     * <p>The value returned by this method is the same value that would be
     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
     * method on a {@link List} containing a sequence of {@link Boolean}
     * instances representing the elements of <tt>a</tt> in the same order.
     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
     *
     * @param a the array whose hash value to compute
     * @return a content-based hash code for <tt>a</tt>
     * @since 1.5
     */
    public static int hashCode(boolean a[])
    {
        if (a == null)
            return 0;

        int result = 1;
        for (boolean element : a)
            result = 31 * result + (element ? 1231 : 1237);

        return result;
    }

    /**
     * Returns a hash code based on the contents of the specified array.
     * For any two <tt>float</tt> arrays <tt>a</tt> and <tt>b</tt>
     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
     *
     * <p>The value returned by this method is the same value that would be
     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
     * method on a {@link List} containing a sequence of {@link Float}
     * instances representing the elements of <tt>a</tt> in the same order.
     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
     *
     * @param a the array whose hash value to compute
     * @return a content-based hash code for <tt>a</tt>
     * @since 1.5
     */
    public static int hashCode(float a[])
    {
        if (a == null)
            return 0;

        int result = 1;
        for (float element : a)
            result = 31 * result + Float.floatToIntBits(element);

        return result;
    }

    /**
     * Returns a hash code based on the contents of the specified array.
     * For any two <tt>double</tt> arrays <tt>a</tt> and <tt>b</tt>
     * such that <tt>Arrays.equals(a, b)</tt>, it is also the case that
     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
     *
     * <p>The value returned by this method is the same value that would be
     * obtained by invoking the {@link List#hashCode() <tt>hashCode</tt>}
     * method on a {@link List} containing a sequence of {@link Double}
     * instances representing the elements of <tt>a</tt> in the same order.
     * If <tt>a</tt> is <tt>null</tt>, this method returns 0.
     *
     * @param a the array whose hash value to compute
     * @return a content-based hash code for <tt>a</tt>
     * @since 1.5
     */
    public static int hashCode(double a[])
    {
        if (a == null)
            return 0;

        int result = 1;
        for (double element : a)
        {
            long bits = Double.doubleToLongBits(element);
            result = 31 * result + (int)(bits ^ (bits >>> 32));
        }
        return result;
    }

    /**
     * Returns a hash code based on the contents of the specified array.  If
     * the array contains other arrays as elements, the hash code is based on
     * their identities rather than their contents.  It is therefore
     * acceptable to invoke this method on an array that contains itself as an
     * element,  either directly or indirectly through one or more levels of
     * arrays.
     *
     * <p>For any two arrays <tt>a</tt> and <tt>b</tt> such that
     * <tt>Arrays.equals(a, b)</tt>, it is also the case that
     * <tt>Arrays.hashCode(a) == Arrays.hashCode(b)</tt>.
     *
     * <p>The value returned by this method is equal to the value that would
     * be returned by <tt>Arrays.asList(a).hashCode()</tt>, unless <tt>a</tt>
     * is <tt>null</tt>, in which case <tt>0</tt> is returned.
     *
     * @param a the array whose content-based hash code to compute
     * @return a content-based hash code for <tt>a</tt>
     * @see #deepHashCode(Object[])
     * @since 1.5
     */
    public static int hashCode(Object a[])
    {
        if (a == null)
            return 0;

        int result = 1;

        for (Object element : a)
            result = 31 * result + (element == null ? 0 : element.hashCode());

        return result;
    }

    /**
     * Returns a hash code based on the "deep contents" of the specified
     * array.  If the array contains other arrays as elements, the
     * hash code is based on their contents and so on, ad infinitum.
     * It is therefore unacceptable to invoke this method on an array that
     * contains itself as an element, either directly or indirectly through
     * one or more levels of arrays.  The behavior of such an invocation is
     * undefined.
     *
     * <p>For any two arrays <tt>a</tt> and <tt>b</tt> such that
     * <tt>Arrays.deepEquals(a, b)</tt>, it is also the case that
     * <tt>Arrays.deepHashCode(a) == Arrays.deepHashCode(b)</tt>.
     *
     * <p>The computation of the value returned by this method is similar to
     * that of the value returned by {@link List#hashCode()} on a list
     * containing the same elements as <tt>a</tt> in the same order, with one
     * difference: If an element <tt>e</tt> of <tt>a</tt> is itself an array,
     * its hash code is computed not by calling <tt>e.hashCode()</tt>, but as
     * by calling the appropriate overloading of <tt>Arrays.hashCode(e)</tt>
     * if <tt>e</tt> is an array of a primitive type, or as by calling
     * <tt>Arrays.deepHashCode(e)</tt> recursively if <tt>e</tt> is an array
     * of a reference type.  If <tt>a</tt> is <tt>null</tt>, this method
     * returns 0.
     *
     * @param a the array whose deep-content-based hash code to compute
     * @return a deep-content-based hash code for <tt>a</tt>
     * @see #hashCode(Object[])
     * @since 1.5
     */
    public static int deepHashCode(Object a[])
    {
        if (a == null)
            return 0;

        int result = 1;

        for (Object element : a)
        {
            int elementHash = 0;
            if (element instanceof Object[])
                elementHash = deepHashCode((Object[])element);
            else if (element instanceof byte[])
                elementHash = hashCode((byte[])element);
            else if (element instanceof short[])
                elementHash = hashCode((short[])element);
            else if (element instanceof int[])
                elementHash = hashCode((int[])element);
            else if (element instanceof long[])
                elementHash = hashCode((long[])element);
            else if (element instanceof char[])
                elementHash = hashCode((char[])element);
            else if (element instanceof float[])
                elementHash = hashCode((float[])element);
            else if (element instanceof double[])
                elementHash = hashCode((double[])element);
            else if (element instanceof boolean[])
                elementHash = hashCode((boolean[])element);
            else if (element != null)
                elementHash = element.hashCode();

            result = 31 * result + elementHash;
        }

        return result;
    }

    /**
     * Returns <tt>true</tt> if the two specified arrays are <i>deeply
     * equal</i> to one another.  Unlike the {@link #equals(Object[],Object[])}
     * method, this method is appropriate for use with nested arrays of
     * arbitrary depth.
     *
     * <p>Two array references are considered deeply equal if both
     * are <tt>null</tt>, or if they refer to arrays that contain the same
     * number of elements and all corresponding pairs of elements in the two
     * arrays are deeply equal.
     *
     * <p>Two possibly <tt>null</tt> elements <tt>e1</tt> and <tt>e2</tt> are
     * deeply equal if any of the following conditions hold:
     * <ul>
     *    <li> <tt>e1</tt> and <tt>e2</tt> are both arrays of object reference
     *         types, and <tt>Arrays.deepEquals(e1, e2) would return true</tt>
     *    <li> <tt>e1</tt> and <tt>e2</tt> are arrays of the same primitive
     *         type, and the appropriate overloading of
     *         <tt>Arrays.equals(e1, e2)</tt> would return true.
     *    <li> <tt>e1 == e2</tt>
     *    <li> <tt>e1.equals(e2)</tt> would return true.
     * </ul>
     * Note that this definition permits <tt>null</tt> elements at any depth.
     *
     * <p>If either of the specified arrays contain themselves as elements
     * either directly or indirectly through one or more levels of arrays,
     * the behavior of this method is undefined.
     *
     * @param a1 one array to be tested for equality
     * @param a2 the other array to be tested for equality
     * @return <tt>true</tt> if the two arrays are equal
     * @see #equals(Object[],Object[])
     * @since 1.5
     */
    public static boolean deepEquals(Object[] a1, Object[] a2)
    {
        if (a1 == a2)
            return true;
        if (a1 == null || a2 == null)
            return false;
        int length = a1.length;
        if (a2.length != length)
            return false;

        for (int i = 0; i < length; i++)
        {
            Object e1 = a1[i];
            Object e2 = a2[i];

            if (e1 == e2)
                continue;
            if (e1 == null)
                return false;

            // Figure out whether the two elements are equal
            boolean eq;
            if (e1 instanceof Object[] && e2 instanceof Object[])
                eq = deepEquals((Object[])e1, (Object[])e2);
            else if (e1 instanceof byte[] && e2 instanceof byte[])
                eq = equals((byte[])e1, (byte[])e2);
            else if (e1 instanceof short[] && e2 instanceof short[])
                eq = equals((short[])e1, (short[])e2);
            else if (e1 instanceof int[] && e2 instanceof int[])
                eq = equals((int[])e1, (int[])e2);
            else if (e1 instanceof long[] && e2 instanceof long[])
                eq = equals((long[])e1, (long[])e2);
            else if (e1 instanceof char[] && e2 instanceof char[])
                eq = equals((char[])e1, (char[])e2);
            else if (e1 instanceof float[] && e2 instanceof float[])
                eq = equals((float[])e1, (float[])e2);
            else if (e1 instanceof double[] && e2 instanceof double[])
                eq = equals((double[])e1, (double[])e2);
            else if (e1 instanceof boolean[] && e2 instanceof boolean[])
                eq = equals((boolean[])e1, (boolean[])e2);
            else
                eq = e1.equals(e2);

            if (!eq)
                return false;
        }
        return true;
    }

    /**
     * Returns a string representation of the contents of the specified array.
     * The string representation consists of a list of the array's elements,
     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
     * separated by the characters <tt>", "</tt> (a comma followed by a
     * space).  Elements are converted to strings as by
     * <tt>String.valueOf(long)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt>
     * is <tt>null</tt>.
     *
     * @param a the array whose string representation to return
     * @return a string representation of <tt>a</tt>
     * @since 1.5
     */
    public static String toString(long[] a)
    {
        if (a == null)
            return "null";
        int iMax = a.length - 1;
        if (iMax == -1)
            return "[]";

        StringBuilder b = new StringBuilder();
        b.append('[');
        for (int i = 0;; i++)
        {
            b.append(a[i]);
            if (i == iMax)
                return b.append(']').toString();
            b.append(", ");
        }
    }

    /**
     * Returns a string representation of the contents of the specified array.
     * The string representation consists of a list of the array's elements,
     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
     * separated by the characters <tt>", "</tt> (a comma followed by a
     * space).  Elements are converted to strings as by
     * <tt>String.valueOf(int)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt> is
     * <tt>null</tt>.
     *
     * @param a the array whose string representation to return
     * @return a string representation of <tt>a</tt>
     * @since 1.5
     */
    public static String toString(int[] a)
    {
        if (a == null)
            return "null";
        int iMax = a.length - 1;
        if (iMax == -1)
            return "[]";

        StringBuilder b = new StringBuilder();
        b.append('[');
        for (int i = 0;; i++)
        {
            b.append(a[i]);
            if (i == iMax)
                return b.append(']').toString();
            b.append(", ");
        }
    }

    /**
     * Returns a string representation of the contents of the specified array.
     * The string representation consists of a list of the array's elements,
     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
     * separated by the characters <tt>", "</tt> (a comma followed by a
     * space).  Elements are converted to strings as by
     * <tt>String.valueOf(short)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt>
     * is <tt>null</tt>.
     *
     * @param a the array whose string representation to return
     * @return a string representation of <tt>a</tt>
     * @since 1.5
     */
    public static String toString(short[] a)
    {
        if (a == null)
            return "null";
        int iMax = a.length - 1;
        if (iMax == -1)
            return "[]";

        StringBuilder b = new StringBuilder();
        b.append('[');
        for (int i = 0;; i++)
        {
            b.append(a[i]);
            if (i == iMax)
                return b.append(']').toString();
            b.append(", ");
        }
    }

    /**
     * Returns a string representation of the contents of the specified array.
     * The string representation consists of a list of the array's elements,
     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
     * separated by the characters <tt>", "</tt> (a comma followed by a
     * space).  Elements are converted to strings as by
     * <tt>String.valueOf(char)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt>
     * is <tt>null</tt>.
     *
     * @param a the array whose string representation to return
     * @return a string representation of <tt>a</tt>
     * @since 1.5
     */
    public static String toString(char[] a)
    {
        if (a == null)
            return "null";
        int iMax = a.length - 1;
        if (iMax == -1)
            return "[]";

        StringBuilder b = new StringBuilder();
        b.append('[');
        for (int i = 0;; i++)
        {
            b.append(a[i]);
            if (i == iMax)
                return b.append(']').toString();
            b.append(", ");
        }
    }

    /**
     * Returns a string representation of the contents of the specified array.
     * The string representation consists of a list of the array's elements,
     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements
     * are separated by the characters <tt>", "</tt> (a comma followed
     * by a space).  Elements are converted to strings as by
     * <tt>String.valueOf(byte)</tt>.  Returns <tt>"null"</tt> if
     * <tt>a</tt> is <tt>null</tt>.
     *
     * @param a the array whose string representation to return
     * @return a string representation of <tt>a</tt>
     * @since 1.5
     */
    public static String toString(byte[] a)
    {
        if (a == null)
            return "null";
        int iMax = a.length - 1;
        if (iMax == -1)
            return "[]";

        StringBuilder b = new StringBuilder();
        b.append('[');
        for (int i = 0;; i++)
        {
            b.append(a[i]);
            if (i == iMax)
                return b.append(']').toString();
            b.append(", ");
        }
    }

    /**
     * Returns a string representation of the contents of the specified array.
     * The string representation consists of a list of the array's elements,
     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
     * separated by the characters <tt>", "</tt> (a comma followed by a
     * space).  Elements are converted to strings as by
     * <tt>String.valueOf(boolean)</tt>.  Returns <tt>"null"</tt> if
     * <tt>a</tt> is <tt>null</tt>.
     *
     * @param a the array whose string representation to return
     * @return a string representation of <tt>a</tt>
     * @since 1.5
     */
    public static String toString(boolean[] a)
    {
        if (a == null)
            return "null";
        int iMax = a.length - 1;
        if (iMax == -1)
            return "[]";

        StringBuilder b = new StringBuilder();
        b.append('[');
        for (int i = 0;; i++)
        {
            b.append(a[i]);
            if (i == iMax)
                return b.append(']').toString();
            b.append(", ");
        }
    }

    /**
     * Returns a string representation of the contents of the specified array.
     * The string representation consists of a list of the array's elements,
     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
     * separated by the characters <tt>", "</tt> (a comma followed by a
     * space).  Elements are converted to strings as by
     * <tt>String.valueOf(float)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt>
     * is <tt>null</tt>.
     *
     * @param a the array whose string representation to return
     * @return a string representation of <tt>a</tt>
     * @since 1.5
     */
    public static String toString(float[] a)
    {
        if (a == null)
            return "null";
        int iMax = a.length - 1;
        if (iMax == -1)
            return "[]";

        StringBuilder b = new StringBuilder();
        b.append('[');
        for (int i = 0;; i++)
        {
            b.append(a[i]);
            if (i == iMax)
                return b.append(']').toString();
            b.append(", ");
        }
    }

    /**
     * Returns a string representation of the contents of the specified array.
     * The string representation consists of a list of the array's elements,
     * enclosed in square brackets (<tt>"[]"</tt>).  Adjacent elements are
     * separated by the characters <tt>", "</tt> (a comma followed by a
     * space).  Elements are converted to strings as by
     * <tt>String.valueOf(double)</tt>.  Returns <tt>"null"</tt> if <tt>a</tt>
     * is <tt>null</tt>.
     *
     * @param a the array whose string representation to return
     * @return a string representation of <tt>a</tt>
     * @since 1.5
     */
    public static String toString(double[] a)
    {
        if (a == null)
            return "null";
        int iMax = a.length - 1;
        if (iMax == -1)
            return "[]";

        StringBuilder b = new StringBuilder();
        b.append('[');
        for (int i = 0;; i++)
        {
            b.append(a[i]);
            if (i == iMax)
                return b.append(']').toString();
            b.append(", ");
        }
    }

    /**
     * Returns a string representation of the contents of the specified array.
     * If the array contains other arrays as elements, they are converted to
     * strings by the {@link Object#toString} method inherited from
     * <tt>Object</tt>, which describes their <i>identities</i> rather than
     * their contents.
     *
     * <p>The value returned by this method is equal to the value that would
     * be returned by <tt>Arrays.asList(a).toString()</tt>, unless <tt>a</tt>
     * is <tt>null</tt>, in which case <tt>"null"</tt> is returned.
     *
     * @param a the array whose string representation to return
     * @return a string representation of <tt>a</tt>
     * @see #deepToString(Object[])
     * @since 1.5
     */
    public static String toString(Object[] a)
    {
        if (a == null)
            return "null";
        int iMax = a.length - 1;
        if (iMax == -1)
            return "[]";

        StringBuilder b = new StringBuilder();
        b.append('[');
        for (int i = 0;; i++)
        {
            b.append(String.valueOf(a[i]));
            if (i == iMax)
                return b.append(']').toString();
            b.append(", ");
        }
    }

    /**
     * Returns a string representation of the "deep contents" of the specified
     * array.  If the array contains other arrays as elements, the string
     * representation contains their contents and so on.  This method is
     * designed for converting multidimensional arrays to strings.
     *
     * <p>The string representation consists of a list of the array's
     * elements, enclosed in square brackets (<tt>"[]"</tt>).  Adjacent
     * elements are separated by the characters <tt>", "</tt> (a comma
     * followed by a space).  Elements are converted to strings as by
     * <tt>String.valueOf(Object)</tt>, unless they are themselves
     * arrays.
     *
     * <p>If an element <tt>e</tt> is an array of a primitive type, it is
     * converted to a string as by invoking the appropriate overloading of
     * <tt>Arrays.toString(e)</tt>.  If an element <tt>e</tt> is an array of a
     * reference type, it is converted to a string as by invoking
     * this method recursively.
     *
     * <p>To avoid infinite recursion, if the specified array contains itself
     * as an element, or contains an indirect reference to itself through one
     * or more levels of arrays, the self-reference is converted to the string
     * <tt>"[...]"</tt>.  For example, an array containing only a reference
     * to itself would be rendered as <tt>"[[...]]"</tt>.
     *
     * <p>This method returns <tt>"null"</tt> if the specified array
     * is <tt>null</tt>.
     *
     * @param a the array whose string representation to return
     * @return a string representation of <tt>a</tt>
     * @see #toString(Object[])
     * @since 1.5
     */
    public static String deepToString(Object[] a)
    {
        if (a == null)
            return "null";

        int bufLen = 20 * a.length;
        if (a.length != 0 && bufLen <= 0)
            bufLen = Integer.MAX_VALUE;
        StringBuilder buf = new StringBuilder(bufLen);
        deepToString(a, buf, new HashSet());
        return buf.toString();
    }

    private static void deepToString(Object[] a, StringBuilder buf, Set<Object[]> dejaVu)
    {
        if (a == null)
        {
            buf.append("null");
            return;
        }
        dejaVu.add(a);
        buf.append('[');
        for (int i = 0; i < a.length; i++)
        {
            if (i != 0)
                buf.append(", ");

            Object element = a[i];
            if (element == null)
            {
                buf.append("null");
            }
            else
            {
                Class eClass = element.getClass();

                if (eClass.isArray())
                {
                    if (eClass == byte[].class)
                        buf.append(toString((byte[])element));
                    else if (eClass == short[].class)
                        buf.append(toString((short[])element));
                    else if (eClass == int[].class)
                        buf.append(toString((int[])element));
                    else if (eClass == long[].class)
                        buf.append(toString((long[])element));
                    else if (eClass == char[].class)
                        buf.append(toString((char[])element));
                    else if (eClass == float[].class)
                        buf.append(toString((float[])element));
                    else if (eClass == double[].class)
                        buf.append(toString((double[])element));
                    else if (eClass == boolean[].class)
                        buf.append(toString((boolean[])element));
                    else
                    { // element is an array of object references
                        if (dejaVu.contains(element))
                            buf.append("[...]");
                        else
                            deepToString((Object[])element, buf, dejaVu);
                    }
                }
                else
                { // element is non-null and not an array
                    buf.append(element.toString());
                }
            }
        }
        buf.append(']');
        dejaVu.remove(a);
    }
}
